AnswersAlgebra IIIntroduction to Functions

Practice Test Answers

15 verified answers
1
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Which equation represents a linear function?

A
y times open paren y minus 1 close paren is equal to x plus 25
B
y minus 5 is equal to x times open paren negative x plus 2 close paren
C
y times open paren x minus 1 close paren is equal to 9
D
y minus 5 is equal to x minus 20
2
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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 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).
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 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).
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 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).
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 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).
3

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
2
B
11
C
5
D
13
4

If the function f of x is equal to m x plus b has an inverse function, which statement must be true?

A
b is not equal to 0
B
m is equal to 0
C
b is equal to 0
D
m is not equal to 0
5

The formula to determine energy is cap e is equal to 1 half m v squared What is the formula solved for v ?

A
v is equal to plus or minus square root of 2 cap e minus m end root
B
v is equal to plus or minus square root of m over 2 cap e end root
C
v is equal to plus or minus square root of 2 cap e over m end root
D
v is equal to 2 cap e minus m
6

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 traveling at a constant rate of 6 feet per second between t is equal to 1 and t is equal to 3 .
B
The rocket is traveling six times as fast when t is equal to 3 than it is when t is equal to 1 .
C
The rocket is at a greater height when t is equal to 3 than it is when t is equal to 1 .
D
The rocket is 6 feet higher above the ground when t is equal to 3 than it is when t is equal to 1 .
7

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 negative 5
B
all real values of x except x is equal to 5
C
all real values of x
D
all real values of x except x is equal to 5 and x is equal to negative 5
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
4 x plus 4
B
14 x minus 8
C
4 x minus 8
D
14 x plus 4
9

Which function is the inverse of f of x is equal to negative 5 x minus 4 ?

A
f inverse of x is equal to negative 1 fifth x minus 4 fifths
B
f inverse of x is equal to negative 1 fifth x plus 4 fifths
C
f inverse of x is equal to negative 4 x plus 5
D
f inverse of x is equal to 4 x plus 4
10

Celo used the simple interest formula cap A is equal to cap p times open paren 1 plus r t close paren to calculate the interest he earned on his savings last month. Which equation is equivalent to the simple interest formula?

A
cap p is equal to the fraction with numerator 1 plus r t and denominator cap A
B
cap p is equal to cap A plus open paren 1 plus r t close paren
C
cap p is equal to cap A minus open paren 1 plus r t close paren
D
cap p is equal to the fraction with numerator cap A and denominator 1 plus r t
11

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 the same depth at the start of the interval as it was at the end of the interval.
B
The pool must have been deeper at the end of the interval than it was at the start of the interval.
C
The pool must have been empty for the entire interval.
D
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
12

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, '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'
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, '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'
13

Which description could be written as a linear function?

A
ten more than the square of a number
B
eight more than twice a number
C
three more than the product of two numbers
D
nine more than one divided by a number
15

The scatterplot shows the number of minutes Tyler played in his last eight basketball games and the points he scored in each game. Estimate the location of the line of best fit. About how many points would Tyler score if he played for 40 minutes?

A
18 points
B
40 points
C
22 points
D
27 points
16

The scatterplot shows the number of minutes spent reading, x , and the number of pages read, y , by each of seven students last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?

A
y is equal to 7 over 11 x plus 29 over 11
B
y is equal to 7 over 11 x plus 169 over 11
C
y is equal to 11 sevenths x minus 43 sevenths
D
y is equal to 11 sevenths x minus 263 sevenths

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