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.

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