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Practice Test Answers

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Which statement compares the limit as x approaches negative 4 for the two graphs?

A
In both graph I and graph II, the limit does not exist.
B
In graph I, the limit does not exist, but in graph II, the limit is 5 .
C
In both graph I and graph II, the limit is 5 .
D
In graph I, the limit is 8 , but in graph II, the limit does not exist.
2
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Which statement relates limits to an asymptote of the function?

A
The graph shows limit x to plus or minus infinity of f times x is equal to negative 1 , so the function has a horizontal asymptote at y is equal to negative 1 .
B
The graph shows limit x to plus or minus infinity of f times x is equal to 2 , so the function has a horizontal asymptote at y is equal to 2 .
C
The graph shows limit x to plus or minus infinity of f times x is equal to negative 1 , so the function has a vertical asymptote at x is equal to negative 1 .
D
The graph shows limit x to plus or minus infinity of f times x is equal to 2 so the function has a vertical asymptote at x is equal to 2 .
3

For which value of x is the function continuous?

A
3
B
negative 3
C
negative 1
D
1
4

What are the one-sided limits of g of x around the vertical asymptote x is equal to negative 1 ?

A
limit x to negative 1 raised to the negative power of g times x is equal to infinity and limit x to negative 1 raised to the plus power of g times x is equal to negative infinity
B
limit x to negative 1 raised to the negative power of g times x is equal to negative infinity and limit x to negative 1 raised to the plus power of g times x is equal to infinity
C
limit x to negative 1 raised to the negative power of g times x is equal to infinity and limit x to negative 1 raised to the plus power of g times x is equal to infinity
D
limit x to negative 1 raised to the negative power of g times x is equal to negative infinity and limit x to negative 1 raised to the plus power of g times x is equal to negative infinity
5

What is the limit, if it exists? limit x to 8 of j times x

A
0 point 7 5
B
DNE
C
0 point 3 7 5
D
8
6

Which expression can be multiplied by the numerator and denominator to help evaluate the limit? limit x to negative 1 of the fraction with numerator square root of x minus 1 end root plus 1 and denominator x plus 1

A
x plus 1
B
x minus 1
C
square root of x minus 1 end root plus 1
D
square root of x minus 1 end root minus 1
7

What is the limit? limit x to 5 of open paren the fraction with numerator negative sine times open paren pi x over 3 close paren and denominator 3 close paren

A
the fraction with numerator square root of 3 and denominator 6
B
negative the fraction with numerator square root of 3 and denominator 6
C
negative the fraction with numerator 3 square root of 3 and denominator 2
D
the fraction with numerator 3 square root of 3 and denominator 2
8

Consider the sequence 1 comma 3 comma 9 comma 27 comma 81 comma dot dot dot Which statement describes the sequence?

A
The sequence converges to 1 .
B
The sequence converges to infinity .
C
The sequence diverges.
D
The sequence converges to negative infinity .
9

Consider the function f of x is equal to the fraction with numerator x squared plus 11 x minus 12 and denominator x minus 1 Which statement describes the discontinuity at x is equal to 1 ?

A
a jump discontinuity that cannot be removed by extending the function
B
a removable discontinuity that can be removed by extending the function to include f of 1 is equal to negative 11
C
a removable discontinuity that can be removed by extending the function to include f of 1 is equal to 13
D
an infinite discontinuity that cannot be removed by extending the function
10

Which statement describes the series? the sum from n is equal to 1 to infinity of 2

A
The series converges and it has a sum of 4 .
B
The series converges and it does not have a sum.
C
The series diverges and it does not have a sum.
D
The series diverges and it has a constant ratio of 2.

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