Practice Exam Answers

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1
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Which transformations are needed to change the parent sine function to the sine function shown in the graph?

A
vertical stretch of 1 half , horizontal compression to a period of 2 pi , vertical shift of 1 unit up, phase shift of pi units left
B
vertical stretch of 2 , horizontal compression to a period of 4 pi , vertical shift of 2 units up, phase shift of pi units left
C
vertical compression of 1 half , horizontal stretch to a period of 4 pi , vertical shift of 1 unit up, phase shift of pi units left
D
vertical compression of 1 half , horizontal stretch to a period of 2 pi , vertical shift of 1 unit down, phase shift of pi units left
2
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What is the range of y is equal to log sub 2 of open paren x minus 6 close paren ?

A
all real numbers less than 6
B
all real number greater than 6
C
all real numbers not equal to 0
D
all real numbers
6

Which statement best compares the graphs of f of x is equal to lfloor x rfloor and f of x is equal to lceil x rceil ?

A
The graph of f of x is equal to lceil x rceil is shifted up compared to the graph of f of x is equal to lfloor x rfloor , and the open and closed circles are the same.
B
The graph of f of x is equal to lceil x rceil is shifted up compared to the graph of f of x is equal to lfloor x rfloor , and the open and closed circles are reversed.
C
The open and closed circles are reversed.
D
The two graphs are exactly the same.
8

What is the solution to the log base the log base 4 of 8 of x is equal to 3 ?

A
x is equal to 3 eighths
B
x is equal to 2
C
x is equal to 3 halves
D
x is equal to 8
9

What is the solution of square root of x minus 4 end root plus 5 is equal to 2 ?

A
x is equal to negative 17
B
x is equal to 13
C
x is equal to 53
D
no solution
14

A utility company hires pollsters to knock on random doors in different parts of town to survey residents about the cost of their electric bill. Would this study be biased? Why or why not?

A
Yes, it is biased. Some of the residents who are surveyed may not want to respond to someone who knocks at their door.
B
No, it is not biased. All residents of the town will have the opportunity to respond.
C
Yes, it is biased. Only certain parts of the town were surveyed.
D
No, it is not biased. All residents who are surveyed will want to respond.
16

What is log sub 6 e to the f th power rewritten using the power property?

A
e log sub 6 f
B
log sub 6 of open paren e plus f close paren
C
f log sub 6 e
D
log sub 6 of open paren e times f close paren
18

Which function has a domain of x is greater than or equal to 5 and a range of y is less than or equal to 3 ?

A
y is equal to square root of x minus 5 end root plus 3
B
y is equal to negative square root of x minus 5 end root plus 3
C
y is equal to negative square root of x plus 5 end root minus 3
D
y is equal to square root of x plus 5 end root minus 3
19

What is the range of the function f of x is equal to negative 2 times open paren 6 to the x th power close paren plus 3 ?

A
open paren negative infinity comma 3 close paren
B
left bracket 3 comma infinity right parenthesis
C
left bracket negative 2 comma infinity right parenthesis
D
left parenthesis negative infinity comma negative 2 right bracket
20

What is the following quotient? the fraction with numerator 6 minus 3 times open paren cube root of 6 close paren and denominator cube root of 9

A
2 times open paren cube root of 3 close paren minus cube root of 18
B
3 times open paren cube root of 3 close paren minus cube root of 18
C
3 times open paren cube root of 3 close paren minus 3 times open paren cube root of 2 close paren
D
2 times open paren cube root of 3 close paren minus 3 times open paren cube root of 2 close paren

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