Practice Exam Answers

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Which form of an equation was used to model the price of a gallon of milk?

A
y is equal to A x squared plus b
B
y is equal to A b to the x th power
C
y is equal to A plus b x
D
y is equal to A x plus b
2
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Choose the function that represents the data.

A
f of x is equal to x to the 50th power plus 200
B
f of x is equal to 50 x squared plus 200
C
f of x is equal to 50 x plus 200
D
f of x is equal to x over 50 plus 200
4

Which best describes the constant difference for the function?

A
a constant second difference of 5
B
a constant second difference of 2 and 1 half
C
a constant first difference of 5
D
a constant first difference of 2 and 1 half
5

For which value of x would this model make the least sense to use?

A
negative 2 point 7 5
B
0 point 2 5
C
1 point 7 5
D
2 point 2 5
7

What is the range of open paren f circ g close paren times x ?

A
y is greater than 0
B
all real numbers except y is equal to 0
C
y is less than or equal to 0
D
all real numbers
10

The vertices of a triangle are given in the columns of the matrix cap t is equal to the 2 by 3 matrix row 1, 0 4 0 row 2, 0 0 5 If the 2 by 2 matrix, row 1, column 1, negative 1 column 2, 0 row 2, column 1, 0 column 2, negative 1 times cap t is found to perform a transformation, what are the coordinates of the transformed triangle?

A
(0, 0), (4, 0), (0, 5).
B
open paren 0 comma 0 close paren comma open paren negative 4 comma 0 close paren comma open paren 0 comma negative 5 close paren
C
(0, 0), (4, 0), (0,−5).
D
open paren 0 comma 0 close paren comma open paren negative 4 comma 0 close paren comma open paren 0 comma 5 close paren
12

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 end root
B
y is equal to plus or minus square root of x plus 36
C
y is equal to plus or minus square root of x squared plus 36 end root
D
y is equal to plus or minus square root of x plus 6
14

Consider a cube with an inscribed sphere. The function r times cap v is equal to cube root of 3 cap v over 4 pi can be used to find the radius, r , of a sphere given the volume, cap v The function s times r is equal to 2 r can be used to find the side length of the cube, s , depending on the radius of the sphere. The function cap A times s is equal to 6 s squared can be used to find the surface area, cap A , of the cube. Which is the composed function for the surface area of the cube for any given volume of an inscribed sphere?

A
cap A times open paren s times open paren r times cap v close paren close paren is equal to 12 times open paren cube root of 3 v over 4 pi close paren squared
B
cap A times open paren s times open paren r times cap v close paren close paren is equal to 24 times open paren cube root of 3 v over 4 pi close paren squared
C
cap A times open paren s times open paren r times cap v close paren close paren is equal to 24 times open paren th root of 3 v over 4 pi close paren cubed
D
cap A times open paren s times open paren r times cap v close paren close paren is equal to 12 times open paren th root of 3 v over 4 pi close paren cubed
15

Which is the graph of the function f of x is equal to x cubed minus x squared minus 17 x minus 15 ?

A
Image with description On a coordinate plane, a curve goes through the point negative 3.5 comma 0. It increases to a relative maximum near negative 2 comma 12. Then it decreases to a relative minimum near 2.5 comma negative 40 and increases through the point 4.8 comma 0.
B
Image with description On a coordinate plane, a curve goes through the point negative 4 comma 0. It increases to a relative maximum near negative 2 comma 35. Then it decreases to a relative minimum near 2.5 comma negative 18 and increases through the point 4 comma 0.
C
Image with description On a coordinate plane, a curve goes through the point negative 4 comma 0. It increases to a relative maximum near negative 2 comma 22. Then it decreases to a relative minimum near 2.5 comma negative 28 and increases through the point 4.5 comma 0.
D
Image with description On a coordinate plane, a curve goes through the point negative 3 comma 0. It increases to a relative maximum near negative 2 comma 12. Then it decreases to a relative minimum near 2.5 comma negative 48 and increases through the point 5 comma 0.
16

What are the domain and range of f of x is equal to the log of open paren x minus 1 close paren plus 2 ?

A
domain: x is greater than 1 ; range: all real numbers
B
domain: x is greater than 1 ; range: y is greater than 2
C
domain : all real numbers; range: y is greater than 1
D
domain: all real numbers; range: all real numbers
17

Consider the inverse function. f inverse of x is equal to negative square root of x minus 2 end root Which conclusions can be drawn about f of x is equal to x squared plus 2 ? Choose three correct answers.

A
f of x has a y -intercept at the point open paren 0 comma 2 close paren .
B
f of x has an x -intercept of open paren 2 comma 0 close paren .
C
f of x has a restricted domain.
D
f of x has a limited range.
E
f of x has a maximum at the point open paren 0 comma 2 close paren .
18

Which statement about 4 x squared plus 19 x minus 5 is true?

A
One of the factors is open paren x minus 4 close paren .
B
One of the factors is open paren 4 x plus 1 close paren .
C
One of the factors is open paren 4 x minus 5 close paren .
D
One of the factors is open paren x plus 5 close paren .
19

Which statement best describes g of x is equal to cube root of x plus 6 minus 8 and the parent function f of x is equal to cube root of x ?

A
The ranges of g of x and f of x are the same, but their domains are not the same.
B
The domains of g of x and f of x are the same, but their ranges are not the same.
C
The domains of g of x and f of x are the not the same, and their ranges are also not the same.
D
The ranges of g of x and f of x are the same, and their domains are also the same.
21

Which function has a maximum with the same maximum value as f of x is equal to negative start absolute value x plus 3 end absolute value minus 2 ?

A
f of x is equal to open paren x plus 3 close paren squared minus 2
B
f of x is equal to negative square root of x plus 6 end root minus 2
C
f of x is equal to square root of x plus 3 end root minus 3
D
f of x is equal to negative open paren x minus 6 close paren squared minus 3

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