Quiz about 4-2 Graphing Rational Functions

Question 1

What are the Horizontal Asymptotes of the rational expression below?

$$y=\frac{2x^2+7x+3}{x^2+4x+2}$$

Accepted Answer

y = 2

Answer

y = 0

Answer

No HA

Answer

y = 1/2

Question 2

Which of the following does not have a horizontal asymptote?

Accepted Answer

$$y=\frac{2x^3+7x^2+3x}{x^2+4x+4}$$

Answer

$$y=\frac{x-3}{x^2+x-12}$$

Answer

$$y=\frac{x-4}{2-x}$$

Answer

they all have a horizontal asymptote

Question 3

What are the asymptotes?

Accepted Answer

x = -3        y = 1

Answer

x = 3         y = 1

Answer

x = -3        y = -1

Answer

x = 3         y = -1

Question 4

What is an asymptote?

Accepted Answer

an imaginary line that your function never touches

Answer

a part of your function

Answer

a point on your graph

Answer

a type of fruit

Question 5

Question 5.

Accepted Answer

All Reals Except -3

Answer

All Reals Except 0

Answer

All Reals

Answer

All Reals Except 0 and -3

Question 6

What is/are the Vertical Asymptotes?

Accepted Answer

x= 2/3

Answer

x= 4, x = -2

Answer

x= -8, x = 1

Answer

x= -4, x = 2

Question 7

Find the horizontal asymptote:

Accepted Answer

y = 3/2

Answer

y = 0

Answer

y = 1

Answer

None

Question 8

What are the Vertical Asymptotes of $$f\left(x\right)\ =\ \frac{4x^2\ -\ 9}{x^2+2x-15}$$ (Select all that apply)

Accepted Answer

x = 3

Accepted Answer

x = -5

Answer

x = -3

Answer

y = 0

Answer

x = 4

Question 9

Find the Vertical Asymptotes.

Accepted Answer

x= 0, -2

Answer

x= 2

Answer

x= -3, 2

Answer

x = -3,1

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