Graphing Rational Functions

Graphing Rational Functions

11th - 12th Grade

11 Qs

quiz-placeholder

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Graphing Rational Functions

Graphing Rational Functions

Assessment

Quiz

Other

11th - 12th Grade

Hard

CCSS
HSF-IF.C.7D

Standards-aligned

Created by

Jeremy Lee

Used 524+ times

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11 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Select ALL the information that applies to the given rational function.
 f(x)=x32x2+8x6f\left(x\right)=\frac{x-3}{-2x^2+8x-6}  

Vertical Asymptote. at x = 1

No Holes

Horizontal Asymptote. at y = 0

y-intercept at (0, 1/2)

Tags

CCSS.HSF-IF.C.7D

2.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Select ALL the information that applies to the given rational function. f(x)=2x22x24x+3f\left(x\right)=\frac{2x^2-2}{x^2-4x+3}  

Vertical Asymptote. at x = -3 and x = 1

Hole at (1, 0)

Horizontal Asymptote at y = 2

x-intercepts at (3,0) and (1, 0)

Tags

CCSS.HSF-IF.C.7D

3.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Select ALL the information that applies to the given rational function. f(x)=x2x4x+16f\left(x\right)=\frac{x^2-x}{-4x+16}  

Vertical Asymptote. at x = -1

No Holes

Horizontal Asymptote. at y = -1/4

x-intercepts at (0,0) and (-1,0)

Tags

CCSS.HSF-IF.C.7D

4.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Select ALL the information that applies to the given rational function.  f(x)=x+33x+6f\left(x\right)=\frac{x+3}{-3x+6}  

Vertical Asymptote at x = 2

No Holes

Horizontal Asymptote at y = -1/3

y-intercepts at (0, 1/2)

Tags

CCSS.HSF-IF.C.7D

5.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

 Select ALL the information that applies to the given rational function. f(x)=13x29f\left(x\right)=\frac{1}{-3x^2-9} 

No Vertical Asymptote

No Holes

Slant (Oblique) Asymptote at  y=x3y=x-3  

No x-intercept

Tags

CCSS.HSF-IF.C.7D

6.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Select ALL the information that applies to the given rational function. f(x)=x3+2x23x+5x23x+4f\left(x\right)=\frac{x^3+2x^2-3x+5}{x^2-3x+4}  

Vertical Asymptote at x = 3 and x = -1

No Holes

Slant (Oblique) Asymptote at y = x + 5

y-intercept at (0,0)

Tags

CCSS.HSF-IF.C.7D

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Graph the function.

 f(x)=x+1x4f\left(x\right)=\frac{-x+1}{x-4}  

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSF-IF.C.7D

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