Transcription of Graphing Rational Functions.ks-ia2 - Kuta Software LLC
1 kuta Software - Infinite Algebra 2 Name_____. Graphing Rational functions Date_____ Period____. Identify the points of discontinuity, holes, vertical asymptotes, x-intercepts, and horizontal asymptote of each. x . 1) f ( x) = . 2) f ( x) =. x x x . x x x x x . 3) f ( x) = 4) f ( x) =. x x x x . Identify the points of discontinuity, holes, vertical asymptotes, and horizontal asymptote of each. Then sketch the graph. x . 5) f ( x) = . 6) f ( x) =. x x x . y y .. x x .. x x x 7) f ( x) = 8) f ( x) = . x x x . y y .. x x .. 3 M2H011n2G tKfu7tUaM jSZoafStgwza4rGe8 w mAblXlS 5rMi4gQhUthsa P BMBahdAeH iw2iJtLhf lI9nJfciZnXiVtJeX qABlRgme4bXrsaM -1- Worksheet by kuta Software LLC.. x x x x 9) f ( x) = 10) f ( x) =. x x x x . y y .. x x .. x x x . 11) f ( x) = 12) f ( x) =.
2 X x . y y .. x x .. x x . 13) f ( x) = 14) f ( x) =. x x x . y y .. x x .. n E2O0B1b2T 4 Kyu7tlaO US9o5fVtvwyaXrneb 7 VAWlhlB erMiNgzhktXsr t jMRakd7ea zwJiftwhY gIOnifzidnOiDtUel zAplegMeXburoaT -2- Worksheet by kuta Software LLC.. kuta Software - Infinite Algebra 2 Name_____. Graphing Rational functions Date_____ Period____. Identify the points of discontinuity, holes, vertical asymptotes, x-intercepts, and horizontal asymptote of each. x . 1) f ( x) = Discontinuities: , .. 2) f ( x) = Discontinuities: . x x . Vertical Asym.: x , x x Vertical Asym.: x . Holes: None Holes: None Horz. Asym.: y Horz. Asym.: y . X-intercepts: None X-intercepts: . x x x x x . 3) f ( x) = Discontinuities: , 4) f ( x) = Discontinuities: , . x x Vertical Asym.: x , x x x Vertical Asym.: x.
3 Holes: None Holes: x . Horz. Asym.: None . X-intercepts: , , Horz. Asym.: y .. X-intercepts: . Identify the points of discontinuity, holes, vertical asymptotes, and horizontal asymptote of each. Then sketch the graph. x . 5) f ( x) = . 6) f ( x) =. x x x . y y Discontinuities: , Discontinuities: . Vertical Asym.: x , x Vertical Asym.: x . Holes: None Holes: None Horz. Asym.: y . Horz. Asym.: y .. x x .. x x x 7) f ( x) = 8) f ( x) = . x x x . y y Discontinuities: Discontinuities: , . Vertical Asym.: x Vertical Asym.: x . Holes: None Holes: x . Horz. Asym.: None Horz. Asym.: y .. x x .. 0 E2i0E1S2v xKJultdam GSOovfItKwJa2reeR W tA0lelK jrvitgRh2tOs9 n MMLaRdce6 awliptphJ jIbnlfmiCn4i8tje7 NA3lkgOeFb4rWan -1- Worksheet by kuta Software LLC.. x x x x 9) f ( x) = 10) f ( x) =.
4 X x x x . y y Discontinuities: , Discontinuities: , . Vertical Asym.: x , x Vertical Asym.: x , x . Holes: None Holes: None Horz. Asym.: y Horz. Asym.: None .. x x .. x x x . 11) f ( x) = 12) f ( x) =. x x . y y Discontinuities: Discontinuities: . Vertical Asym.: x Vertical Asym.: x . Holes: None Holes: None Horz. Asym.: None . Horz. Asym.: y .. x x .. x x . 13) f ( x) = 14) f ( x) =. x x x . y y Discontinuities: , Discontinuities: . Vertical Asym.: x Vertical Asym.: x . Holes: x Holes: None Horz. Asym.: y Horz. Asym.: y .. x x .. Create your own worksheets like this one with Infinite Algebra 2. Free trial available at 6 m2F0y1T23 wKoujtUan zSVonfxtqwfaJrwex N XAclQlu 5rRi5gmh8tRsC U rMJazdke9 dwFiotCh6 wIVnufriYnzi8tGei WAUlDgmekbmr6aO -2- Worksheet by kuta Software LLC.
