AnswersAlgebraic ReasoningSquare Root and Absolute Value Functions

Practice Test Answers

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1
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Which equation represents the function graphed on the coordinate plane?

A
g of x is equal to start absolute value x minus 4 end absolute value minus 2
B
g of x is equal to start absolute value x minus 2 end absolute value minus 4
C
g of x is equal to start absolute value x minus 2 end absolute value plus 4
D
g of x is equal to start absolute value x plus 4 end absolute value minus 2
2
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Which equation is the inverse of y is equal to 7 x squared minus 10 ?

A
y is equal to the fraction with numerator plus or minus square root of x plus 10 end root and denominator 7
B
y is equal to plus or minus square root of the fraction with numerator x plus 10 and denominator 7 end root
C
y is equal to the fraction with numerator plus or minus square root of x and denominator 7 plus or minus the fraction with numerator square root of 10 and denominator 7
D
y is equal to plus or minus square root of x over 7 plus 10 end root
3

Which statement is true about f of x plus 2 is equal to 1 sixth start absolute value x minus 3 end absolute value ?

A
The graph of f of x is a horizontal compression of the graph of the parent function.
B
The graph of f of x has a vertex of open paren negative 3 comma 2 close paren .
C
The graph of f of x has range of f of x is greater than or equal to negative 2 .
D
The graph of f of x opens downward.
4

Which describes the range of the parent absolute value function?

A
start set y such that y is a real number end set
B
start set y such that y is less than or equal to 0 end set
C
start set y such that y is greater than or equal to 0 end set
D
start set y such that y is an integer end set
5

Which statement accurately compares the functions on the graph?

A
The square root and quadratic function share a minimum.
B
The absolute value and quadratic function share a y -intercept.
C
The absolute value and square root function share an x -intercept.
D
All of the functions have a maximum.
6

Which statements can be used to accurately compare the functions? Choose two correct answers.

A
All three functions have a y -intercept.
B
The domain of all three functions is the same.
C
All three functions have an x -intercept.
D
f of x has the greatest maximum.
E
g of x has the lowest minimum.
7

Which equation represents the function graphed on the coordinate plane?

A
g of x is equal to start absolute value x minus 2 end absolute value plus 4
B
g of x is equal to start absolute value x minus 4 end absolute value minus 2
C
g of x is equal to start absolute value x minus 2 end absolute value minus 4
D
g of x is equal to start absolute value x plus 4 end absolute value minus 2
8

Which equation is the inverse of y is equal to 7 x squared minus 10 ?

A
y is equal to plus or minus square root of the fraction with numerator x plus 10 and denominator 7 end root
B
y is equal to the fraction with numerator plus or minus square root of x plus 10 end root and denominator 7
C
y is equal to the fraction with numerator plus or minus square root of x and denominator 7 plus or minus the fraction with numerator square root of 10 and denominator 7
D
y is equal to plus or minus square root of x over 7 plus 10 end root
9

Which of the following is the graph of f of x is equal to 3 start absolute value x minus 4 end absolute value plus 1 ?

A
Image with description On a coordinate plane, the scale on the x axis ranges from negative 9 to 1 in increments of 1, and the scale on the y axis ranges from negative 7 to 3 in increments of 1. The V-shaped graph opening downward has a vertex at (negative 4 comma 1) and the graph passes through the points (negative 6 comma negative 5) and (negative 2 comma negative 5).
B
Image with description On a coordinate plane, the scale on the x axis ranges from negative 8 to 2 in increments of 1, and the scale on the y axis ranges from negative 3 to 7 in increments of 1. The V-shaped graph opening upward has a vertex at (negative 4 comma negative 1) and the graph passes through the points (negative 6 comma 5) and (negative 2 comma 4).
C
Image with description On a coordinate plane, the scale on the x axis ranges from negative 3 to 7 in increments of 1, and the scale on the y axis ranges from negative 7 to 3 in increments of 1. The V-shaped graph opening downward has a vertex at (4 comma negative 1) and the graph passes through the points (3 comma negative 4) and (5 comma negative 4).
D
Image with description On a coordinate plane, the scale on the x axis ranges from negative 1 to 9 in increments of 1, and the scale on the y axis ranges from negative 3 to 7 in increments of 1. The V-shaped graph opening upward has a vertex at (4 comma 1) and the graph passes through the points (3 comma 4) and (5 comma 4).
10

Which equation is the inverse of y is equal to x squared minus 36 ?

A
y is equal to plus or minus square root of x plus 36
B
y is equal to plus or minus square root of x squared plus 36 end root
C
y is equal to plus or minus square root of x plus 6
D
y is equal to plus or minus square root of x plus 36 end root
11

Which describes the range of the parent absolute value function?

A
start set y such that y is less than or equal to 0 end set
B
start set y such that y is greater than or equal to 0 end set
C
start set y such that y is a real number end set
D
start set y such that y is an integer end set
12

Which statement is true about f of x plus 2 is equal to 1 sixth start absolute value x minus 3 end absolute value ?

A
The graph of f of x has range of f of x is greater than or equal to negative 2 .
B
The graph of f of x is a horizontal compression of the graph of the parent function.
C
The graph of f of x has a vertex of open paren negative 3 comma 2 close paren .
D
The graph of f of x opens downward.

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