LL1_Funcions
Resum i dubtes Funcions
2. Imatges i antiimatges
Una funció relaciona dues variables. Per a cada valor de la variable independent x, existeix un únic valor de la variable dependent y.
y és la imatge de x per la funció f
x és una antiimatge de y per la funció f
Donada la funció :
![Zähler x im Quadrat minus 1 geteilt durch Nenner x plus 2 Bruchergebnis gleich minus 8
x im Quadrat minus 1 gleich minus 8 mal linke klammer x plus 2 rechte klammer
x im Quadrat minus 1 gleich minus 8 x minus 16
x im Quadrat plus 8 x plus 15 gleich 0
x gleich Zähler minus 8 plusminus Quadratwurzel aus 8 im Quadrat minus 4 mal 15 Wurzelende geteilt durch Nenner 2 Bruchergebnis gleich Zähler minus 8 plusminus Quadratwurzel aus 64 minus 60 Wurzelende geteilt durch Nenner 2 Bruchergebnis gleich Zähler minus 8 plusminus Quadratwurzel aus 4 geteilt durch Nenner 2 Bruchergebnis gleich Zähler minus 8 plusminus 2 geteilt durch Nenner 2 Bruchergebnis gleich Tabelle Zeile Zelle diagonale ellipse nach rechts oben Leerzeichen Zähler minus 10 geteilt durch Nenner 2 Bruchergebnis gleich minus 5 Ende Zelle Zeile Zelle diagonale ellipse nach rechts unten Zähler minus 6 geteilt durch Nenner 2 Bruchergebnis gleich minus 3 Ende Zelle Ende Tabelle](data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%22220%22%20width%3D%22560%22%20wrs%3Abaseline%3D%22109%22%3E%3C!--MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmfrac%3E%3Cmrow%3E%3Cmsup%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E8%3C%2Fmn%3E%3Cmspace%20linebreak%3D%22newline%22%2F%3E%3Cmsup%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E8%3C%2Fmn%3E%3Cmo%3E%26%23xB7%3B%3C%2Fmo%3E%3Cmo%3E(%3C%2Fmo%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E2%3C%2Fmn%3E%3Cmo%3E)%3C%2Fmo%3E%3Cmspace%20linebreak%3D%22newline%22%2F%3E%3Cmsup%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E8%3C%2Fmn%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E16%3C%2Fmn%3E%3Cmspace%20linebreak%3D%22newline%22%2F%3E%3Cmsup%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E8%3C%2Fmn%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E15%3C%2Fmn%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E0%3C%2Fmn%3E%3Cmspace%20linebreak%3D%22newline%22%2F%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E8%3C%2Fmn%3E%3Cmo%3E%26%23xB1%3B%3C%2Fmo%3E%3Cmsqrt%3E%3Cmsup%3E%3Cmn%3E8%3C%2Fmn%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E4%3C%2Fmn%3E%3Cmo%3E%26%23xB7%3B%3C%2Fmo%3E%3Cmn%3E15%3C%2Fmn%3E%3C%2Fmsqrt%3E%3C%2Fmrow%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E8%3C%2Fmn%3E%3Cmo%3E%26%23xB1%3B%3C%2Fmo%3E%3Cmsqrt%3E%3Cmn%3E64%3C%2Fmn%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E60%3C%2Fmn%3E%3C%2Fmsqrt%3E%3C%2Fmrow%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E8%3C%2Fmn%3E%3Cmo%3E%26%23xB1%3B%3C%2Fmo%3E%3Cmsqrt%3E%3Cmn%3E4%3C%2Fmn%3E%3C%2Fmsqrt%3E%3C%2Fmrow%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E8%3C%2Fmn%3E%3Cmo%3E%26%23xB1%3B%3C%2Fmo%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmtable%3E%3Cmtr%3E%3Cmtd%3E%3Cmo%3E%26%23x22F0%3B%3C%2Fmo%3E%3Cmo%3E%26%23xA0%3B%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E10%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E5%3C%2Fmn%3E%3C%2Fmtd%3E%3C%2Fmtr%3E%3Cmtr%3E%3Cmtd%3E%3Cmo%3E%26%23x22F1%3B%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E6%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmo%3E-%3C%2Fmo%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmtd%3E%3C%2Fmtr%3E%3C%2Fmtable%3E%3C%2Fmath%3E--%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A'math13434ecaff1372e459006484452'%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAAGRjdnQgDVUNBwAAAYAAAAA6Z2x5ZoPi2VsAAAG8AAAC%2FWhlYWQQC2qxAAAEvAAAADZoaGVhCGsXSAAABPQAAAAkaG10eE2rRkcAAAUYAAAAIGxvY2EAHTwYAAAFOAAAACRtYXhwBT0FPgAABVwAAAAgbmFtZaBxlY4AAAV8AAABn3Bvc3QB9wD6AAAHHAAAACBwcmVwa1uragAABzwAAAAUAAADSwGQAAUAAAQABAAAAAAABAAEAAAAAAAAAQEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAg1UADev96AAAD6ACWAAAAAAACAAEAAQAAABQAAwABAAAAFAAEAFAAAAAQABAAAwAAACsAPQCxALciEiLwIvH%2F%2FwAAACsAPQCxALciEiLwIvH%2F%2F%2F%2FW%2F8X%2FUv9N3fPdFt0WAAEAAAAAAAAAAAAAAAAAAAAAAAABVAMsAIABAABWACoCWAIeAQ4BLAIsAFoBgAKAAKAA1ACAAAAAAAAAACsAVQCAAKsA1QEAASsABwAAAAIAVQAAAwADqwADAAcAADMRIRElIREhVQKr%2FasCAP4AA6v8VVUDAAABAIAAVQLVAqsACwBJARiyDAEBFBMQsQAD9rEBBPWwCjyxAwX1sAg8sQUE9bAGPLENA%2BYAsQAAExCxAQbksQEBExCwBTyxAwTlsQsF9bAHPLEJBOUxMBMhETMRIRUhESMRIYABAFUBAP8AVf8AAasBAP8AVv8AAQAAAgCAAOsC1QIVAAMABwBlGAGwCBCwBtSwBhCwBdSwCBCwAdSwARCwANSwBhCwBzywBRCwBDywARCwAjywABCwAzwAsAgQsAbUsAYQsAfUsAcQsAHUsAEQsALUsAYQsAU8sAcQsAQ8sAEQsAA8sAIQsAM8MTATITUhHQEhNYACVf2rAlUBwFXVVVUAAgCA%2F%2F8CgAKrAAsADwBlGAGwEBCwD9SwDxCwADywABCwAdSwARCwBNSwBBCwBdSwARCwCjywBBCwBzywBRCwDjwAsBAQsA%2FUsA8QsAzUsAwQsAnUsAkQsArUsAoQsAHUsAEQsALUsAEQsAQ8sAoQsAc8MDETMzUzFTMVIxUjJwcRIRUhgNZV1dVVAdUCAP4AAdXW1lbU1QH%2B1VUAAQCAAVUA6wHAAAMAGxgBsAQQsQAD9LECA%2FSxBQP0ALAEELEDBvQwMRMzFSOAa2sBwGsAAQCAAVUC1QGrAAMAMBgBsAQQsQAD9rADPLECB%2FWwATyxBQPmALEAABMQsQAG5bEAARMQsAE8sQMF9bACPBMhFSGAAlX9qwGrVgADACsAKwJWAlUAAwAHAAsALxgBsAwQsADUsAAQsATUsAQQsAjUsAkQsA3UALAMELAA1LAAELAE1LAEELAI1DAxNzM1IzczNSM3MzUjK4CA1oCA1YCAK4BVgFWAAAMAKgArAlUCVQADAAcACwAvGAGwDRCwANSwABCwBNSwBBCwCNSwCRCwDNQAsAwQsADUsAAQsATUsAQQsAjUMDElIzUzJyM1MycjNTMCVYCA1YCA1oCAK4BVgFWAAAAAAAEAAAABAADVeM5BXw889QADBAD%2F%2F%2F%2F%2F1joTc%2F%2F%2F%2F%2F%2FWOhNzAAD%2FIASAA6sAAAAKAAIAAQAAAAAAAQAAA%2Bj%2FagAAF3AAAP%2B2BIAAAQAAAAAAAAAAAAAAAAAAAAgDUgBVA1YAgANWAIADAACAAWsAgANWAIACgAArAoAAKgAAAAAAAAAoAAAAoQAAASsAAAHHAAAB%2BgAAAkQAAAKgAAAC%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%2F)format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%40font-face%7Bfont-family%3A'round_brackets18549f92a457f2409'%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMjwHLFQAAADMAAAATmNtYXDf7xCrAAABHAAAADxjdnQgBAkDLgAAAVgAAAASZ2x5ZmAOz2cAAAFsAAABJGhlYWQOKih8AAACkAAAADZoaGVhCvgVwgAAAsgAAAAkaG10eCA6AAIAAALsAAAADGxvY2EAAARLAAAC%2BAAAABBtYXhwBIgEWQAAAwgAAAAgbmFtZXHR30MAAAMoAAACOXBvc3QDogHPAAAFZAAAACBwcmVwupWEAAAABYQAAAAHAAAGcgGQAAUAAAgACAAAAAAACAAIAAAAAAAAAQIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAgICAAAAAo8AMGe%2F57AAAHPgGyAAAAAAACAAEAAQAAABQAAwABAAAAFAAEACgAAAAGAAQAAQACACgAKf%2F%2FAAAAKAAp%2F%2F%2F%2F2f%2FZAAEAAAAAAAAAAAFUAFYBAAAsAKgDgAAyAAcAAAACAAAAKgDVA1UAAwAHAAA1MxEjEyMRM9XVq4CAKgMr%2FQAC1QABAAD%2B0AIgBtAACQBNGAGwChCwA9SwAxCwAtSwChCwBdSwBRCwANSwAxCwBzywAhCwCDwAsAoQsAPUsAMQsAfUsAoQsAXUsAoQsADUsAMQsAI8sAcQsAg8MTAREAEzABEQASMAAZCQ%2FnABkJD%2BcALQ%2FZD%2BcAGQAnACcAGQ%2FnAAAQAA%2FtACIAbQAAkATRgBsAoQsAPUsAMQsALUsAoQsAXUsAUQsADUsAMQsAc8sAIQsAg8ALAKELAD1LADELAH1LAKELAF1LAKELAA1LADELACPLAHELAIPDEwARABIwAREAEzAAIg%2FnCQAZD%2BcJABkALQ%2FZD%2BcAGQAnACcAGQ%2FnAAAQAAAAEAAPW2NYFfDzz1AAMIAP%2F%2F%2F%2F%2FVre7u%2F%2F%2F%2F%2F9Wt7u4AAP7QA7cG0AAAAAoAAgABAAAAAAABAAAHPv5OAAAXcAAA%2F%2F4DtwABAAAAAAAAAAAAAAAAAAAAAwDVAAACIAAAAiAAAAAAAAAAAAAkAAAAowAAASQAAQAAAAMACgACAAAAAAACAIAEAAAAAAAEAABNAAAAAAAAABUBAgAAAAAAAAABAD4AAAAAAAAAAAACAA4APgAAAAAAAAADAFwATAAAAAAAAAAEAD4AqAAAAAAAAAAFABYA5gAAAAAAAAAGAB8A%2FAAAAAAAAAAIABwBGwABAAAAAAABAD4AAAABAAAAAAACAA4APgABAAAAAAADAFwATAABAAAAAAAEAD4AqAABAAAAAAAFABYA5gABAAAAAAAGAB8A%2FAABAAAAAAAIABwBGwADAAEECQABAD4AAAADAAEECQACAA4APgADAAEECQADAFwATAADAAEECQAEAD4AqAADAAEECQAFABYA5gADAAEECQAGAB8A%2FAADAAEECQAIABwBGwBSAG8AdQBuAGQAIABiAHIAYQBjAGsAZQB0AHMAIAB3AGkAdABoACAAYQBzAGMAZQBuAHQAIAAxADgANQA0AFIAZQBnAHUAbABhAHIATQBhAHQAaABzACAARgBvAHIAIABNAG8AcgBlACAAUgBvAHUAbgBkACAAYgByAGEAYwBrAGUAdABzACAAdwBpAHQAaAAgAGEAcwBjAGUAbgB0ACAAMQA4ADUANABSAG8AdQBuAGQAIABiAHIAYQBjAGsAZQB0AHMAIAB3AGkAdABoACAAYQBzAGMAZQBuAHQAIAAxADgANQA0AFYAZQByAHMAaQBvAG4AIAAyAC4AMFJvdW5kX2JyYWNrZXRzX3dpdGhfYXNjZW50XzE4NTQATQBhAHQAaABzACAARgBvAHIAIABNAG8AcgBlAAAAAAMAAAAAAAADnwHPAAAAAAAAAAAAAAAAAAAAAAAAAAC5B%2F8AAY2FAA%3D%3D)format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%3C%2Fstyle%3E%3C%2Fdefs%3E%3Cline%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20x1%3D%222.5%22%20x2%3D%2245.5%22%20y1%3D%2223.5%22%20y2%3D%2223.5%22%2F%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%228.5%22%20y%3D%2218%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2212%22%20text-anchor%3D%22middle%22%20x%3D%2216.5%22%20y%3D%2211%22%3E2%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2227.5%22%20y%3D%2218%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2239.5%22%20y%3D%2218%22%3E1%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2212.5%22%20y%3D%2241%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2224.5%22%20y%3D%2241%22%3E%2B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2236.5%22%20y%3D%2241%22%3E2%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2256.5%22%20y%3D%2229%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2272.5%22%20y%3D%2229%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2284.5%22%20y%3D%2229%22%3E8%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%224.5%22%20y%3D%2267%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2212%22%20text-anchor%3D%22middle%22%20x%3D%2212.5%22%20y%3D%2260%22%3E2%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2223.5%22%20y%3D%2267%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2235.5%22%20y%3D%2267%22%3E1%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2248.5%22%20y%3D%2267%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2264.5%22%20y%3D%2267%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2276.5%22%20y%3D%2267%22%3E8%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2285.5%22%20y%3D%2267%22%3E%26%23xB7%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2292.5%22%20y%3D%2267%22%3E(%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2298.5%22%20y%3D%2267%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22110.5%22%20y%3D%2267%22%3E%2B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22122.5%22%20y%3D%2267%22%3E2%3C%2Ftext%3E%3Ctext%20font-family%3D%22round_brackets18549f92a457f2409%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22129.5%22%20y%3D%2267%22%3E)%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%224.5%22%20y%3D%2294%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2212%22%20text-anchor%3D%22middle%22%20x%3D%2212.5%22%20y%3D%2287%22%3E2%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2223.5%22%20y%3D%2294%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2235.5%22%20y%3D%2294%22%3E1%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2248.5%22%20y%3D%2294%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2264.5%22%20y%3D%2294%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2276.5%22%20y%3D%2294%22%3E8%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2285.5%22%20y%3D%2294%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2297.5%22%20y%3D%2294%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22114.5%22%20y%3D%2294%22%3E16%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%224.5%22%20y%3D%22120%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2212%22%20text-anchor%3D%22middle%22%20x%3D%2212.5%22%20y%3D%22113%22%3E2%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2223.5%22%20y%3D%22120%22%3E%2B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2235.5%22%20y%3D%22120%22%3E8%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%2244.5%22%20y%3D%22120%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2256.5%22%20y%3D%22120%22%3E%2B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2273.5%22%20y%3D%22120%22%3E15%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2290.5%22%20y%3D%22120%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22103.5%22%20y%3D%22120%22%3E0%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%224.5%22%20y%3D%22179%22%3Ex%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2217.5%22%20y%3D%22179%22%3E%3D%3C%2Ftext%3E%3Cline%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20x1%3D%2228.5%22%20x2%3D%22149.5%22%20y1%3D%22173.5%22%20y2%3D%22173.5%22%2F%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2236.5%22%20y%3D%22168%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2247.5%22%20y%3D%22168%22%3E8%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2259.5%22%20y%3D%22168%22%3E%26%23xB1%3B%3C%2Ftext%3E%3Cpolyline%20fill%3D%22none%22%20points%3D%2212%2C-20%2011%2C-20%205%2C0%202%2C-8%22%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20transform%3D%22translate(66.5%2C169.5)%22%2F%3E%3Cpolyline%20fill%3D%22none%22%20points%3D%225%2C0%202%2C-8%200%2C-7%22%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20transform%3D%22translate(66.5%2C169.5)%22%2F%3E%3Cline%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20x1%3D%2278.5%22%20x2%3D%22147.5%22%20y1%3D%22149.5%22%20y2%3D%22149.5%22%2F%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2284.5%22%20y%3D%22168%22%3E8%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2212%22%20text-anchor%3D%22middle%22%20x%3D%2292.5%22%20y%3D%22161%22%3E2%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22103.5%22%20y%3D%22168%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22115.5%22%20y%3D%22168%22%3E4%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22124.5%22%20y%3D%22168%22%3E%26%23xB7%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22137.5%22%20y%3D%22168%22%3E15%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2289.5%22%20y%3D%22190%22%3E2%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22160.5%22%20y%3D%22179%22%3E%3D%3C%2Ftext%3E%3Cline%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20x1%3D%22171.5%22%20x2%3D%22277.5%22%20y1%3D%22173.5%22%20y2%3D%22173.5%22%2F%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22179.5%22%20y%3D%22168%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22190.5%22%20y%3D%22168%22%3E8%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22202.5%22%20y%3D%22168%22%3E%26%23xB1%3B%3C%2Ftext%3E%3Cpolyline%20fill%3D%22none%22%20points%3D%2212%2C-18%2011%2C-18%205%2C0%202%2C-7%22%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20transform%3D%22translate(209.5%2C169.5)%22%2F%3E%3Cpolyline%20fill%3D%22none%22%20points%3D%225%2C0%202%2C-7%200%2C-6%22%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20transform%3D%22translate(209.5%2C169.5)%22%2F%3E%3Cline%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20x1%3D%22221.5%22%20x2%3D%22275.5%22%20y1%3D%22151.5%22%20y2%3D%22151.5%22%2F%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22232.5%22%20y%3D%22168%22%3E64%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22248.5%22%20y%3D%22168%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22265.5%22%20y%3D%22168%22%3E60%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22224.5%22%20y%3D%22190%22%3E2%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22288.5%22%20y%3D%22179%22%3E%3D%3C%2Ftext%3E%3Cline%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20x1%3D%22299.5%22%20x2%3D%22363.5%22%20y1%3D%22173.5%22%20y2%3D%22173.5%22%2F%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22307.5%22%20y%3D%22168%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22318.5%22%20y%3D%22168%22%3E8%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22330.5%22%20y%3D%22168%22%3E%26%23xB1%3B%3C%2Ftext%3E%3Cpolyline%20fill%3D%22none%22%20points%3D%2212%2C-16%2011%2C-16%205%2C0%202%2C-6%22%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20transform%3D%22translate(337.5%2C169.5)%22%2F%3E%3Cpolyline%20fill%3D%22none%22%20points%3D%225%2C0%202%2C-6%200%2C-5%22%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20transform%3D%22translate(337.5%2C169.5)%22%2F%3E%3Cline%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20x1%3D%22349.5%22%20x2%3D%22361.5%22%20y1%3D%22153.5%22%20y2%3D%22153.5%22%2F%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22355.5%22%20y%3D%22168%22%3E4%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22331.5%22%20y%3D%22190%22%3E2%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22374.5%22%20y%3D%22179%22%3E%3D%3C%2Ftext%3E%3Cline%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20x1%3D%22385.5%22%20x2%3D%22433.5%22%20y1%3D%22173.5%22%20y2%3D%22173.5%22%2F%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22393.5%22%20y%3D%22168%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22404.5%22%20y%3D%22168%22%3E8%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22416.5%22%20y%3D%22168%22%3E%26%23xB1%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22427.5%22%20y%3D%22168%22%3E2%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22409.5%22%20y%3D%22190%22%3E2%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22444.5%22%20y%3D%22179%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22464.5%22%20y%3D%22157%22%3E%26%23x22F0%3B%3C%2Ftext%3E%3Cline%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20x1%3D%22477.5%22%20x2%3D%22511.5%22%20y1%3D%22151.5%22%20y2%3D%22151.5%22%2F%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22485.5%22%20y%3D%22146%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22501.5%22%20y%3D%22146%22%3E10%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22494.5%22%20y%3D%22168%22%3E2%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22522.5%22%20y%3D%22157%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22538.5%22%20y%3D%22157%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22550.5%22%20y%3D%22157%22%3E5%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22470.5%22%20y%3D%22203%22%3E%26%23x22F1%3B%3C%2Ftext%3E%3Cline%20stroke%3D%22%23000000%22%20stroke-linecap%3D%22square%22%20stroke-width%3D%221%22%20x1%3D%22479.5%22%20x2%3D%22504.5%22%20y1%3D%22197.5%22%20y2%3D%22197.5%22%2F%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22487.5%22%20y%3D%22192%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22498.5%22%20y%3D%22192%22%3E6%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22492.5%22%20y%3D%22214%22%3E2%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22515.5%22%20y%3D%22203%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22math13434ecaff1372e459006484452%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22531.5%22%20y%3D%22203%22%3E%26%23x2212%3B%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%22543.5%22%20y%3D%22203%22%3E3%3C%2Ftext%3E%3C%2Fsvg%3E)
Imatge de 2
La imatge de 2 per la funció f és 3/4, i per tant la funció passa pel punt (2, 3/4).
I podem dir que la antiimatge de 3/4 és 2.
Antiimatge de 0
Per calcular la antiimatge de 0 per f, igualarem a 0 l'expressió i aïllarem la x.
Una fracció és 0, si ho és el numerador:
Per tant, el 0 té dues antiimatges: 1 i -1
i la funció passa pels punts (1,0) i (-1,0)
Antiimatge de -8
Per tant, -8 té dues antiimatges: -5 i 3