Graphing Simple Rational Functions

1 Y t2j0G1i2c NKfugtgaa aSoojfEtHwLafrfeY d 7A9lRlm srpirghhztNsN 5 DMuaOdSeH GwsiEt6hK AIRnnf8iRnHiutPek IAbl6gkeEbcrRat by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Graphing Simple Rational FunctionsIdentify the vertical asymptotes, horizontal asymptote, domain, and range of ) f( x) = 4 x2) f( x) = 4 x 1 + 13) f( x) = 3 x 1 14) f( x) = 3 xIdentify the vertical asymptotes, horizontal asymptote, domain, and range of each. Then sketch ) f( x) = 3 x + 1 2xy 8 6 4 22468 8 6 4 224686) f( x) = 3 x + 1 + 2xy 8 6 4 22468 8 6 4 22468-1- e V2c0Q1i2A MKPuQtGaL YSPodfBtjwPaEreef N lA4lWli OrJiSg2h9tssx U oMHaodCe3 BwbiatShG sIJnBfAi2nxiOtAea jA3lJgmeEbArpaN by Kuta Software LLC7) f( x) = 3 x + 1xy 8 6 4 22468 8 6 4 224688) f( x) = 2 x 3 + 1xy 8 6 4 22468 8 6 4 224689) f( x) = 4 x + 1 + 1xy 8 6 4 22468 8 6 4 2246810) f( x) = 4 x + 2xy 8 6 4 22468 8 6 4 22468 Critical thinking question.

2 11) Write a function of the form f( x) = a x h + k with a vertical asymptote at x = 25-2- m a2Y0c1F2r wKluctOaj PSVoNfetswuakrmex w EAKlrlb 8rSi2gvhVtLsg J gMkamdaeL gw5iht4hO 8 IdnzfniDnXiRt4et lAVlOgFeublrNad by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Graphing Simple Rational FunctionsIdentify the vertical asymptotes, horizontal asymptote, domain, and range of ) f( x) = 4 xVertical Asym.: x = 0 Horz. Asym.: y = 0 Domain: All reals except 0 Range: All reals except 02) f( x) = 4 x 1 + 1 Vertical Asym.: x = 1 Horz. Asym.: y = 1 Domain: All reals except 1 Range: All reals except 13) f( x) = 3 x 1 1 Vertical Asym.

3 : x = 1 Horz. Asym.: y = 1 Domain: All reals except 1 Range: All reals except 14) f( x) = 3 xVertical Asym.: x = 0 Horz. Asym.: y = 0 Domain: All reals except 0 Range: All reals except 0 Identify the vertical asymptotes, horizontal asymptote, domain, and range of each. Then sketch ) f( x) = 3 x + 1 2xy 8 6 4 22468 8 6 4 22468 Vertical Asym.: x = 1 Horz. Asym.: y = 2 Domain: All reals except 1 Range: All reals except 26) f( x) = 3 x + 1 + 2xy 8 6 4 22468 8 6 4 22468 Vertical Asym.: x = 1 Horz. Asym.: y = 2 Domain: All reals except 1 Range: All reals except 2-1- O Q2h061r2D jKduMtsaq 9 SRoufltBwsaGryea 7 YAjljlC 3ryixgLh9tNsb p DM3aGdTeD BwWi4tDh5 MIlnqfJiancijtAeN NAZlagceRbQrjay by Kuta Software LLC7) f( x) = 3 x + 1xy 8 6 4 22468 8 6 4 22468 Vertical Asym.

4 : x = 0 Horz. Asym.: y = 1 Domain: All reals except 0 Range: All reals except 18) f( x) = 2 x 3 + 1xy 8 6 4 22468 8 6 4 22468 Vertical Asym.: x = 3 Horz. Asym.: y = 1 Domain: All reals except 3 Range: All reals except 19) f( x) = 4 x + 1 + 1xy 8 6 4 22468 8 6 4 22468 Vertical Asym.: x = 1 Horz. Asym.: y = 1 Domain: All reals except 1 Range: All reals except 110) f( x) = 4 x + 2xy 8 6 4 22468 8 6 4 22468 Vertical Asym.: x = 0 Horz. Asym.: y = 2 Domain: All reals except 0 Range: All reals except 2 Critical thinking question:11) Write a function of the form f( x) = a x h + k with a vertical asymptote at x = 25 Many answers.

5 Ex: f( x) = 1 x 25-2-Create your own worksheets like this one with Infinite Algebra 2. Free trial available at