Question 1

What is the horizontal asymptote of the rational function

f(x) = \frac{3x^2 + 2}{x^2 - 1}

?

Accepted Answer

y = 3

Answer

y = 2

Answer

y = \frac{3}{x}

Answer

y = 0

Question 2

What is the vertical asymptote of the rational function

f(x) = \frac{3x^2 + 2}{x^2 - 1}

?

Accepted Answer

x = \pm 3

Answer

x = 9

Answer

x = 0

Answer

x = -4

Question 3

Which value of x is a hole in the graph of the rational function

f(x) = \frac{3x^2 + 2}{x^2 - 1}

?

Accepted Answer

x = 2

Answer

x = 3

Answer

x = -1

Answer

x = -2

Question 4

What is the x-intercept of the rational function

f(x) = \frac{3x^2 + 2}{x^2 - 1}

?

Accepted Answer

x = \pm 2

Answer

x = 8

Answer

x = 4

Answer

x = -4

Question 5

For the rational function

f(x) = \frac{3x^2 + 2}{x^2 - 1}

, which value of x is an excluded value?

Accepted Answer

x = 3

Answer

x = 2

Answer

x = -3

Answer

x = 0

Question 6

What is the y-intercept of the rational function

f(x) = \frac{3x^2 + 2}{x^2 - 1}

?

Accepted Answer

y = -1

Answer

y = 1/2

Answer

y = 1

Answer

y = 0

Question 7

What is the slant asymptote of the rational function

f(x) = \frac{3x^2 + 2}{x^2 - 1}

?

Accepted Answer

y = 2x - 1

Answer

y = 2x + 1

Answer

y = -2x + 1

Answer

y = 2x + 3

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