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What is the domain of the function f of x is equal to the fraction with numerator x plus 1 and denominator x squared minus 6 x plus 8 ?

A
all real numbers except negative 4 and negative 2
B
all real numbers except negative 1
C
all real numbers except 2 and 4
D
all real numbers
3

Which statement describes the behavior of the function f of x is equal to the fraction with numerator 2 x and denominator 1 minus x squared ?

A
The graph approaches negative 2 as x approaches infinity.
B
The graph approaches 2 as x approaches infinity.
C
The graph approaches 0 as x approaches infinity.
D
The graph approaches 1 as x approaches infinity.
4

What are the vertical and horizontal asymptotes of f of x is equal to the fraction with numerator 2 x and denominator x minus 1 ?

A
horizontal asymptote at y is equal to 0 , vertical asymptote at x is equal to 1
B
horizontal asymptote at y is equal to 1 , vertical asymptote at x is equal to 0
C
horizontal asymptote at y is equal to 1 , vertical asymptote at x is equal to 2
D
horizontal asymptote at y is equal to 2 , vertical asymptote at x is equal to 1
5

Which statement describes the domain of the function f of x is equal to the fraction with numerator 3 x and denominator 4 x squared minus 4 ?

A
all nonzero real numbers
B
all real numbers
C
all real numbers except x is equal to 3 fourths
D
all real numbers except x is equal to negative 1 and x is equal to 1
6

What is the horizontal asymptote of f of x is equal to the fraction with numerator negative 2 x and denominator x plus 1 ?

A
y is equal to 0
B
y is equal to 1
C
y is equal to negative 2
D
y is equal to negative 1
7

How does the range of g of x is equal to 6 over x compare with the range of the parent function f of x is equal to 1 over x ?

A
The range of both f of x and g of x is all nonzero real numbers
B
The range of f of x is all nonzero real numbers, the range of g of x is all real numbers except 6
C
The range of both f of x and g of x is all real numbers
D
The range of f of x is all real numbers, the range of g of x is all real numbers except 6
8

Which function has no horizontal asymptote?

A
f of x is equal to the fraction with numerator 2 x squared and denominator 3 x minus 1
B
f of x is equal to the fraction with numerator x minus 1 and denominator 3 x
C
f of x is equal to the fraction with numerator 3 x squared and denominator x squared minus 1
D
f of x is equal to the fraction with numerator 2 x minus 1 and denominator 3 x squared
9

Which statement describes the behavior of the function f of x is equal to the fraction with numerator 3 x and denominator 4 minus x ?

A
The graph approaches 3 as x approaches infinity.
B
The graph approaches negative 3 as x approaches infinity.
C
The graph approaches 0 as x approaches infinity.
D
The graph approaches 4 as x approaches infinity.
10

What is the domain of f of x is equal to the fraction with numerator 3 x and denominator x minus 1 ?

A
all real numbers
B
all real numbers except 3
C
all nonzero numbers
D
all real numbers except 1

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