Question 1

Given the function

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, what are the equations for the horizontal and vertical asymptotes?

Accepted Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

and

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Question 2

Which of the following describes the asymptotes of the function

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

?

Accepted Answer

Vertical:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

; Horizontal:

x = -1

Answer

Vertical:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

; Horizontal:

x = -1

Answer

Vertical:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

; Horizontal:

x = -1

Answer

Vertical:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

; Horizontal:

x = -1

Question 3

Identify the horizontal and vertical asymptotes of the rational function

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

.

Accepted Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

and

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Question 4

Which of the following describes the asymptotes of the function

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

?

Accepted Answer

Vertical:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

; Horizontal:

x = -1

Answer

Vertical:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

; Horizontal:

x = -1

Answer

Vertical:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

; Horizontal:

x = -1

Answer

Vertical:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

; Horizontal:

x = -1

Question 5

For the function

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, what are the horizontal and vertical asymptotes?

Accepted Answer

There are no horizontal or vertical asymptotes.

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical: none

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal: none, Vertical:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

and

x = -1

Question 6

Determine the horizontal and vertical asymptotes for the function

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

.

Accepted Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

and

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Question 7

Which of the following describes the asymptotes of the function

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

?

Accepted Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

and

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Question 8

What are the equations of the horizontal and vertical asymptotes for the function

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

?

Accepted Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Question 9

Which of the following describes the asymptotes of the rational function

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

?

Accepted Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Question 10

Identify the horizontal and vertical asymptotes of the function

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

.

Accepted Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

and

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

and

x = -1

Answer

Horizontal:

f(x) = \frac{2x^2 - 8}{x^2 - x - 2}

, Vertical:

x = -1

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