AnswersAlgebra IIRelationships Between Quantities

Practice Test Answers

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1
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Which graph represents an even function?

A
Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 7 points. The points are (negative 4 comma negative 3), (negative 3 comma negative 5), (negative 2 comma 1), (0 comma 0), (2 comma 1), (3 comma negative 5), and (4 comma negative 3).
B
Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 8 points. The points are (negative 4 comma 2), (negative 3 comma negative 1), (negative 1 comma negative 3), (0 comma 1), (1 comma 0), (2 comma negative 4), (4 comma 5), and (5 comma 4).
C
Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 7 points. The points are (negative 3 comma negative 6), (negative 2 comma negative 4), (negative 1 comma negative 2), (0 comma 0), (1 comma 2), (2 comma 4), and (3 comma 6).
D
Image with description On a coordinate plane, the x and y axes range from negative 6 to 6 in increments of 1. The graph has 7 points. The points are (negative 5 comma 2), (negative 4 comma 1), (negative 3 comma 3), (negative 2 comma 5), (2 comma negative 2), (3 comma negative 5), (4 comma negative 6).
2
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If f of x is equal to x squared minus 25 and g of x is equal to x minus 5 , what is the domain of open paren f over g close paren of x ?

A
all real values of x except x is equal to 5
B
all real values of x
C
all real values of x except x is equal to 5 and x is equal to negative 5
D
all real values of x except x is equal to negative 5
3

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?

A
The pool must have been deeper at the end of the interval than it was at the start of the interval.
B
The pool must have been empty for the entire interval.
C
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
D
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
4

The height in feet, h , of a model rocket t seconds after launch is given by the equation h of t is equal to 3 plus 70 t minus 16 t squared The average rate of change in h of t between t is equal to 1 second and t is equal to 3 second is 6 What does the average rate of change tell you about the rocket?

A
The rocket is 6 feet higher above the ground when t is equal to 3 than it is when t is equal to 1 .
B
The rocket is at a greater height when t is equal to 3 than it is when t is equal to 1 .
C
The rocket is traveling at a constant rate of 6 feet per second between t is equal to 1 and t is equal to 3 .
D
The rocket is traveling six times as fast when t is equal to 3 than it is when t is equal to 1 .
5

Vicky is solving an equation where both sides are linear expressions. She sets each linear expression equal to y and graphs the resulting system. If the y -intercepts of the graphs are the same but the slopes are different, what is the greatest possible number of intersections for these graphs?

A
none
B
one
C
infinitely many
D
two
6

Which relation represents a one-to-one function?

A
Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, '7 point 2 5'; Column 2, '11' Row 3: Column 1, '7 point 5'; Column 2, '13' Row 4: Column 1, '7 point 7 5'; Column 2, '15' Row 5: Column 1, '8'; Column 2, '13' Row 6: Column 1, '8 point 5'; Column 2, '11'
B
Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, '5'; Column 2, '26' Row 3: Column 1, '14'; Column 2, '197' Row 4: Column 1, '7'; Column 2, '50' Row 5: Column 1, '13'; Column 2, '170' Row 6: Column 1, '12'; Column 2, '197'
C
Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 2'; Column 2, '5' Row 3: Column 1, 'negative 1'; Column 2, '2' Row 4: Column 1, '0'; Column 2, '1' Row 5: Column 1, '1'; Column 2, '2' Row 6: Column 1, '2'; Column 2, '5'
D
Table with 2 columns and 6 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, '9'; Column 2, '12' Row 3: Column 1, '2'; Column 2, '7' Row 4: Column 1, '4'; Column 2, '9' Row 5: Column 1, '1'; Column 2, '13' Row 6: Column 1, '5'; Column 2, '5'
7

Which system of equations can be graphed to find the solution(s) to 4 x squared is equal to x squared plus 7 ?

A
y is equal to 4 x squared y is equal to x squared plus 7
B
y is equal to 3 x squared plus 7 y is equal to x squared plus 7
C
y is equal to 4 x squared y is equal to 4 x squared plus 7
D
y is equal to 3 x squared y is equal to x squared plus 7
8

The cost of producing x soccer balls in thousands of dollars is represented by h of x is equal to 5 x plus 6 The revenue is represented by k times x is equal to 9 x minus 2 Which expression represents the profit, open paren k minus h close paren times x , of producing soccer balls?

A
14 x plus 4
B
14 x minus 8
C
4 x plus 4
D
4 x minus 8
9

For what value of c is the function one-to-one? start set open paren 1 comma 2 close paren comma open paren 2 comma 3 close paren comma open paren 3 comma 5 close paren comma open paren 4 comma 7 close paren comma open paren 5 comma 11 close paren comma open paren 6 comma c close paren end set

A
11
B
5
C
2
D
13

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