# Kuta graphing rational functions

## Graphing Rational Functions

©3 M2Hn2G tKfu7tUaM jSZoafStgwza4rGe8 4L9LWCo.o w mAblXlS 5rMi4gQhUthsa VrReas3e2revreBdU.a P BMBahdAeH iw2iJtLhf lI9nJfciZnXiVtJeX qABlRgme4bXrsaM k2K.w Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

GraphingRationalFunctions

Date________________

Period____

Identify the points of discontinuity, holes, vertical asymptotes, x-intercepts, and horizontal asymptote of

each.

1)

f ( x) =

x x

2)

f ( x) =

x

x

3)

f ( x) =

x x x

x 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.

5)

f ( x) =

x x

6)

f ( x) =

x

x

y

y

x

x

7)

f ( x) =

x

x

8)

f ( x) =

x x

x x

y

y

x

x

©n E2O0B1b2T 4Kyu7tlaO US9o5fVtvwyaXrneb 3LWLhCL.N 7 VAWlhlB erMiNgzhktXsr VrheRsYemrJv1eHdJ.z t jMRakd7ea zwJiftwhY gIOnifzidnOiDtUel zAplegMeXburoaT J2f.u Worksheet by Kuta Software LLC

x x

x x

9) f ( x) =

10) f ( x) =

x x

x x

y

y

x

x

11)

f ( x) =

x x

x

12)

f ( x) =

x

x

y

y

x

x

13)

f ( x) =

x x

x x

14)

f ( x) =

x

y

y

x

x

©0 E2i0E1S2v xKJultdam GSOovfItKwJa2reeR hLXLLC4.p W tA0lelK jrvitgRh2tOs9 mrEeZsoeUrGvLead0.H n MMLaRdce6 awliptphJ jIbnlfmiCn4i8tje7 NA3lkgOeFb4rWan e2Z.q Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

GraphingRationalFunctions

Name___________________________________

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) =

x x

Vertical Asym.: x, x

x

Discontinuities:

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

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.

5)

f ( x) =

x x

6)

f ( x) =

x

x

y

Discontinuities: ,

Vertical Asym.: x, x

Holes: None

Horz. Asym.: y

y

Discontinuities:

Vertical Asym.: x

Holes: None

Horz. Asym.: y

x

x

7)

f ( x) =

x

x

8)

f ( x) =

x x

x x

y

Discontinuities:

Vertical Asym.: x

Holes: None

Horz. Asym.: y

y

Discontinuities: ,

Vertical Asym.: x

Holes: x

Horz. Asym.: None

x

x

©6 m2F0y1T23 wKoujtUan zSVonfxtqwfaJrwex DLuL1Cz.x N XAclQlu 5rRi5gmh8tRsC urielsAesrTvweHdv.E U rMJazdke9 dwFiotCh6 wIVnufriYnzi8tGei WAUlDgmekbmr6aO W Worksheet by Kuta Software LLC

9)

x x

f ( x) =

x x

y

Discontinuities: ,

Vertical Asym.: x, x

Holes: None

Horz. Asym.: y

10)

x x

f ( x) =

x x

y

Discontinuities: ,

Vertical Asym.: x, x

Holes: None

Horz. Asym.: None

x

x

11)

f ( x) =

x x

x

12)

f ( x) =

x

x

y

Discontinuities:

Vertical Asym.: x

Holes: None

Horz. Asym.: None

y

Discontinuities:

Vertical Asym.: x

Holes: None

Horz. Asym.: y

x

x

13)

f ( x) =

x x

x x

14)

f ( x) =

x

y

Discontinuities: ,

Vertical Asym.: x

Holes: x

Horz. Asym.: y

y

Discontinuities:

Vertical Asym.: x

Holes: None

Horz. Asym.: y

x

x

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

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Magazine: Graphing Rational Functions

Sours: https://www.yumpu.com/en/document/view//graphing-rational-functions

## Graphing Rational Functions.ks-ia2 - Kuta Software

©3 M2Hn2G tKfu7tUaM jSZoafStgwza4rGe8 4L9LWCo.o w mAblXlS 5rMi4gQhUthsa VrReas3e2revreBdU.a P BMBahdAeH iw2iJtLhf lI9nJfciZnXiVtJeX qABlRgme4bXrsaM k2K.w Worksheet by KutaSoftware LLC

KutaSoftware - Infinite Algebra 2

Name___________________________________

GraphingRationalFunctions

Date________________

Period____

Identify the points of discontinuity, holes, vertical asymptotes, x-intercepts, and horizontal asymptote of

each.

1)

f ( x) =

x x

2)

f ( x) =

x

x

3)

f ( x) =

x x x

x 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.

5)

f ( x) =

x x

6)

f ( x) =

x

x

y

y

x

x

7)

f ( x) =

x

x

8)

f ( x) =

x x

x x

y

y

x

x

©n E2O0B1b2T 4Kyu7tlaO US9o5fVtvwyaXrneb 3LWLhCL.N 7 VAWlhlB erMiNgzhktXsr VrheRsYemrJv1eHdJ.z t jMRakd7ea zwJiftwhY gIOnifzidnOiDtUel zAplegMeXburoaT J2f.u Worksheet by KutaSoftware LLC

x x

x x

9) f ( x) =

10) f ( x) =

x x

x x

y

y

x

x

11)

f ( x) =

x x

x

12)

f ( x) =

x

x

y

y

x

x

13)

f ( x) =

x x

x x

14)

f ( x) =

x

y

y

x

x

©0 E2i0E1S2v xKJultdam GSOovfItKwJa2reeR hLXLLC4.p W tA0lelK jrvitgRh2tOs9 mrEeZsoeUrGvLead0.H n MMLaRdce6 awliptphJ jIbnlfmiCn4i8tje7 NA3lkgOeFb4rWan e2Z.q Worksheet by KutaSoftware LLC

KutaSoftware - Infinite Algebra 2

GraphingRationalFunctions

Name___________________________________

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) =

x x

Vertical Asym.: x, x

x

Discontinuities:

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

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.

5)

f ( x) =

x x

6)

f ( x) =

x

x

y

Discontinuities: ,

Vertical Asym.: x, x

Holes: None

Horz. Asym.: y

y

Discontinuities:

Vertical Asym.: x

Holes: None

Horz. Asym.: y

x

x

7)

f ( x) =

x

x

8)

f ( x) =

x x

x x

y

Discontinuities:

Vertical Asym.: x

Holes: None

Horz. Asym.: y

y

Discontinuities: ,

Vertical Asym.: x

Holes: x

Horz. Asym.: None

x

x

©6 m2F0y1T23 wKoujtUan zSVonfxtqwfaJrwex DLuL1Cz.x N XAclQlu 5rRi5gmh8tRsC urielsAesrTvweHdv.E U rMJazdke9 dwFiotCh6 wIVnufriYnzi8tGei WAUlDgmekbmr6aO W Worksheet by KutaSoftware LLC

9)

x x

f ( x) =

x x

y

Discontinuities: ,

Vertical Asym.: x, x

Holes: None

Horz. Asym.: y

10)

x x

f ( x) =

x x

y

Discontinuities: ,

Vertical Asym.: x, x

Holes: None

Horz. Asym.: None

x

x

11)

f ( x) =

x x

x

12)

f ( x) =

x

x

y

Discontinuities:

Vertical Asym.: x

Holes: None

Horz. Asym.: None

y

Discontinuities:

Vertical Asym.: x

Holes: None

Horz. Asym.: y

x

x

13)

f ( x) =

x x

x x

14)

f ( x) =

x

y

Discontinuities: ,

Vertical Asym.: x

Holes: x

Horz. Asym.: y

y

Discontinuities:

Vertical Asym.: x

Holes: None

Horz. Asym.: y

x

x

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

You have already flagged this document.
Thank you, for helping us keep this platform clean.
The editors will have a look at it as soon as possible.

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Magazine: Graphing Rational Functions.ks-ia2 - Kuta Software

Sours: https://www.yumpu.com/en/document/view//graphing-rational-functionsks-ia2-kuta-software

3 M2Hn2G tKfu7tUaM jSZoafStgwza4rGe8 4L9LWCo.o w mAblXlS 5rMi4gQhUthsa VrReas3e2revreBdU.a P BMBahdAeH iw2iJtLhf lI9nJfciZnXiVtJeX qABlRgme4bXrsaM k2K.w Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Graphing Rational FunctionsIdentify the points of discontinuity, holes, vertical asymptotes, x-intercepts, and horizontal asymptote ofeach.

1)

f (

x) =

x

x2)

f (

x) =

x

x

3)

f (

x) =

x

x

x

x

x4)

f (

x) =

x

x

x

x

Identify the points of discontinuity, holes, vertical asymptotes, and horizontal asymptote of each. Then sketch the graph.

5)

f (

x) =

x

x

x

y

6)

f (

x) =

x

x

x

y

7)

f (

x) =

x

x

x

y

8)

f (

x) =

x

x

x

x

x

y

0 E2i0E1S2v xKJultdam GSOovfItKwJa2reeR hLXLLC4.p W tA0lelK jrvitgRh2tOs9 mrEeZsoeUrGvLead0.H n MMLaRdce6 awliptphJ jIbnlfmiCn4i8tje7 NA3lkgOeFb4rWan e2Z.q Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Graphing Rational FunctionsIdentify the points of discontinuity, holes, vertical asymptotes, x-intercepts, and horizontal asymptote ofeach.

1)

f (

x) =

x

xDiscontinuities: , Vertical Asym.:

x,

xHoles: NoneHorz. Asym.:

yX-intercepts: None

2)

f (

x) =

x

xDiscontinuities: Vertical Asym.:

xHoles: NoneHorz. Asym.:

yX-intercepts:

3)

f (

x) =

x

x

x

x

xDiscontinuities: , Vertical Asym.:

x,

xHoles: NoneHorz. Asym.: NoneX-intercepts: , ,

4)

f (

x) =

x

x

x

xDiscontinuities: , Vertical Asym.:

xHoles:

x

Horz. Asym.:

y

X-intercepts: Identify the points of discontinuity, holes, vertical asymptotes, and horizontal asymptote of each. Then sketch the graph.

5)

f (

x) =

x

x

x

y

Discontinuities: , Vertical Asym.:

x,

xHoles: NoneHorz. Asym.:

y

6)

f (

x) =

x

x

x

y

Discontinuities: Vertical Asym.:

xHoles: None

Horz. Asym.:

y

7)

f (

x) =

x

x

x

y

Discontinuities: Vertical Asym.:

xHoles: None

Horz. Asym.:

y

8)

f (

x) =

x

x

x

x

x

y

Discontinuities: , Vertical Asym.:

xHoles:

xHorz. Asym.: None

6 m2F0y1T23 wKoujtUan zSVonfxtqwfaJrwex DLuL1Cz.x N XAclQlu 5rRi5gmh8tRsC urielsAesrTvweHdv.E U rMJazdke9 dwFiotCh6 wIVnufriYnzi8tGei WAUlDgmekbmr6aO W Worksheet by Kuta Software LLC

9)

f (

x) =

x

x

x

x

x

y

Discontinuities: , Vertical Asym.:

x,

xHoles: NoneHorz. Asym.:

y

10)

f (

x) =

x

x

x

x

x

y

Discontinuities: , Vertical Asym.:

x,

xHoles: NoneHorz. Asym.: None

11)

f (

x) =

x

x

x

x

y

Discontinuities: Vertical Asym.:

xHoles: NoneHorz. Asym.: None

12)

f (

x) =

x

x

x

y

Discontinuities: Vertical Asym.:

xHoles: None

Horz. Asym.:

y

13)

f (

x) =

x

x

x

x

x

y

Discontinuities: , Vertical Asym.:

xHoles:

xHorz. Asym.:

y

14)

f (

x) =

x

x

y

Discontinuities: Vertical Asym.:

xHoles: NoneHorz. Asym.:

y

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

Sours: https://fdocuments.in/document/graphing-rational-kuta-software-llc-rationalgraphing-rational-functions-date.html

In this position, I finished in her, and since she has a spiral, we did not use the condoms in them the wrong buzz. I miscalculated something and decided to go and devour the atoms. I sucked all the strength out of me, Milochka refused because she was on a diet. After dinner, I returned to the bedroom, we hugged and fell asleep. In the morning I woke up from the fact that she was touching my penis, the bitch wanted to see, I.

## Graphing functions kuta rational

What do you not remember tonight. Uncle Pasha asked. -Not.

How to graph a rational function using 6 steps

You have such a beautiful companion. For me, these words were like life-giving moisture on my lips. I felt like a god. - This is my woman. And they admire her.

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In the very juice of a man who was left without work money and family, brought him here. Has brought right now. And it was exactly here, when he took from the shelf of his house an old book, which he had already bought a long time ago. He just, once was fond of all this. When he was, a little younger than the beauty that was now walking towards him, and ate him with eyes, black as.

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