AnswersAlgebra IIMathematical Modeling

Practice Test Answers

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1
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Which statements can be used to accurately compare the functions? Choose two correct answers.

A
g of x has the lowest minimum.
B
All three functions have a y -intercept.
C
All three functions have an x -intercept.
D
The domain of all three functions is the same.
E
f of x has the greatest maximum.
2
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Which statement accurately compares the functions on the graph?

A
All of the functions have a maximum.
B
The square root and quadratic function share a minimum.
C
The absolute value and quadratic function share a y -intercept.
D
The absolute value and square root function share an x -intercept.
3

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 two graphs are exactly 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 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.
4

Which of the following describes the graph of y is equal to lfloor x minus 2 rfloor ?

A
The graph has open circles on the left of each step and closed circles on the right and includes the step y is equal to negative 4 for negative 2 is less than or equal to x comma x is less than negative 1 .
B
The graph has open circles on the left of each step and closed circles on the right and includes the step y is equal to negative 3 for negative 2 is less than or equal to x comma x is less than negative 1 .
C
The graph has closed circles on the left of each step and open circles on the right and includes the step y is equal to negative 3 for negative 2 is less than x comma x is less than or equal to negative 1 .
D
The graph has closed circles on the left of each step and open circles on the right and includes the step y is equal to negative 4 for negative 2 is less than or equal to x comma x is less than negative 1 .
5

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 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).
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 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).
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).
6

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 opens downward.
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 is a horizontal compression of the graph of the parent function.

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