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Functions — Test Answers

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1
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What are the x -intercepts of the graphed function?

A
negative 3 comma 0 and 0 comma 1 point 5
B
0 comma 1 point 5 and 1 comma 0
C
negative 3 comma 0 and 1 comma 0
D
negative 1 comma 2 and 1 comma 0
2
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Analyze the relation. Plot a point that could be removed to make this relation a function. Plot the point on the coordinate grid.

Answer:

point; 5; -6

3

Which statements about the local maximums and minimums for the given function are true? Choose three correct answers.

A
Over the interval left bracket 3 comma 5 right bracket , the local maximum is 0 .
B
Over the interval left bracket 3 comma 5 right bracket , the local minimum is negative 8 .
C
Over the interval left bracket 1 comma 4 right bracket , the local maximum is 0 .
D
Over the interval left bracket 1 comma 3 right bracket , the local minimum is 0 .
E
Over the interval left bracket 2 comma 4 right bracket , the local minimum is negative 8 .
4

What is x when f of x is equal to 0 ?

A
negative 1 point 8
B
0
C
5
D
negative 1 point 2
5

The volume of air inside a rubber ball with radius r can be found using the function V of r is equal to 4 thirds pi r cubed What does V of 5 sevenths represent?

A
the radius of the rubber ball when the volume equals 5 sevenths cubic feet
B
that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet
C
the volume of the rubber ball when the radius equals 5 sevenths feet
D
that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet
6

Which set of ordered pairs represents a function?

A
start set 3 comma negative 1 comma 7 comma 1 comma negative 6 comma negative 1 comma 9 comma 1 comma 2 comma negative 1 end set
B
start set 6 comma 8 comma 5 comma 2 comma negative 2 comma negative 5 comma1 comma negative 3 comma negative 2 comma 9 end set
C
start set negative 3 comma 1 comma 6 comma 3 comma negative 3 comma 2 comma negative 3 comma negative 3 comma 1 comma negative 1 end set
D
start set open paren 2 comma negative 2 close paren comma open paren 1 comma 5 close paren comma open paren negative 2 comma 2 close paren comma open paren 1 comma negative 3 close paren comma open paren 8 comma negative 1 close paren end set
7

If f of x is equal to 2 x squared plus 1 , what is f of x when x is equal to 3 ?

A
1
B
13
C
19
D
7
8

For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function C of F is equal to 5 ninths times F minus 32 What does C of F represent?

A
the temperature of C degrees Fahrenheit converted to degrees Celsius
B
the temperature of F degrees Celsius converted to degrees Fahrenheit
C
the temperature of F degrees Fahrenheit converted to degrees Celsius
D
the temperature of C degrees Celsius converted to degrees Fahrenheit
9

The function h of t is equal to negative 16 t squared plus 28 t plus 500 represents the height of a rock t seconds after it is propelled by a slingshot. What does h of 3 point 2 represent?

A
the time it takes the rock to reach a height of 3 point 2 meters
B
the height of the rock 3 point 2 seconds after it is propelled
C
the time it takes the rock to reach the ground, or 3 point 2 seconds
D
the height of the rock 3 point 2 seconds before it reaches the ground
10

Which graph shows a set of ordered pairs that represent a function?

A
Image with description A coordinate plane with 6 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 2 comma 3, negative 1 comma 2, 1 comma 1, 2 comma 0, 3 comma negative 3, and 4 comma negative 5.
B
Image with description A coordinate plane with 5 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 3 comma 2, negative 3 comma 3, 0 comma 1, 1 comma 3, and 2 comma negative 4.
C
Image with description A coordinate plane with 5 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 5 comma 3, negative 3 comma 1, negative 1 comma negative 2, 0 comma negative 2, and 0 comma negative 5.
D
Image with description A coordinate plane with 6 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 2 comma 3, negative 2 comma 2, 0 comma 1, 1 comma 1, 4 comma 4, and 1 comma negative 4.
11

What is the inverse of the function f of x is equal to 1 fourth x minus 12 ?

A
h of x is equal to 48x plus 4
B
h of x is equal to 4x minus 48
C
h of x is equal to 48x minus 4
D
h of x is equal to 4x plus 48
12

Which statement is true about the graphed function?

A
cap f of x is less than 0 over the intervals negative 0 point 7 comma 0 point 7 6 and 2 point 5 comma infinity .
B
cap f of x is greater than 0 over the intervals negative infinity comma negative 0 point 7 and 0 point 7 6 comma 2 point 5 .
C
cap f of x is greater than 0 over the intervals negative 0 point 7 comma 0 point 7 6 and 0 point 7 6 comma infinity .
D
cap f of x is less than 0 over the intervals negative infinity comma negative 0 point 7 and 0 point 7 6 comma 2 point 5 .
13

What is the range of the function on the graph?

A
all the real numbers greater than or equal to 2
B
all the real numbers greater than or equal to negative 3
C
all the real numbers
D
all the real numbers greater than or equal to 0
14

When f of x is equal to negative 3 , what is x ?

A
negative 3
B
negative 10
C
negative 29
D
negative 1
15

What is the domain of the given function?

A
start set y such that y is equal to negative 7 comma negative 6 comma negative 2 comma negative 1 comma 0 comma 1 comma 3 comma 9 end set
B
start set x such that x is equal to negative 6 comma negative 1 comma 0 comma 3 end set
C
start set y such that y is equal to negative 7 comma negative 2 comma 1 comma 9 end set
D
start set x such that x is equal to negative 7 comma negative 6 comma negative 2 comma negative 1 comma 0 comma 1 comma 3 comma 9 end set
16

What is f of 0 ?

A
7
B
4
C
5
D
6
17

Which is a valid prediction about the continuous function f of x ?

A
f of x is less than or equal to 0 over the interval negative infinity comma infinity .
B
f of x is greater than or equal to 0 over the interval negative 1 comma 1 .
C
f of x is less than 0 over the interval 0 comma 2 .
D
f of x is greater than 0 over the interval negative 1 comma infinity .
18

What is f of 0 ?

A
negative 2 comma negative 1 comma 1 comma and 2 only
B
negative 2 comma negative 1 comma 1 comma 2 comma and 12
C
2 and 3 only
D
12 only
19

Which statement is true about the local minimum of the graphed function?

A
Over the interval left bracket negative 1 comma 4 right bracket , the local minimum is 0 .
B
Over the interval left bracket 4 comma 7 right bracket , the local minimum is negative 7 .
C
Over the interval left bracket negative 2 comma negative 1 right bracket , the local minimum is 25 .
D
Over the interval left bracket negative 4 comma negative 2 right bracket , the local minimum is 0 .
20

Which value is an output of the function?

A
4
B
negative 2
C
7
D
negative 6

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