AnswersMathematics IIntroduction to Functions

Introduction to Functions — Quiz Answers

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1
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What is the range of the function?

A
all real numbers greater than or equal to 11
B
all integers greater than or equal to 11
C
all real numbers
D
all real numbers greater than or equal to 0
2
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Contestants in a cooking competition have flour available for use. The number of cups of flour available for use decreases by 8 cups every 6 minutes. There are 32 cups of flour to begin with. Use an inequality to show an appropriate domain for this situation. Enter your answers in the boxes.

Answer:

0≤t≤24

3

The table shows ordered pairs of the function y=8−2⁢x. What is the value of y when x=8? x y negative 3 14 negative 1 10 1 6 4 0 8 ? 10 negative 12

A
8
B
negative 20
C
48
D
negative 8
4

What is the range of the given function? start set negative 2 comma 0 comma negative 4 comma negative 3 comma 2 comma negative 9 comma 0 comma 5 comma negative 5 comma 7 end set

A
start set y such that y is equal to negative 9 comma negative 3 comma 0 comma 5 comma 7 end set
B
start set y such that y is equal to negative 9 comma negative 5 comma negative 4 comma negative 3 comma negative 2 comma 0 comma 2 comma 5 comma 7 end set
C
start set x such that x is equal to negative 9 comma negative 5 comma negative 4 comma negative 3 comma negative 2 comma 0 comma 2 comma 5 comma 7 end set
D
start set x such that x is equal to negative 5 comma negative 4 comma negative 2 comma 0 comma 2 end set
5

What is the domain of the given function? start set 3 comma negative 2 comma 6 comma 1 comma negative 1 comma 4 comma 5 comma 9 comma negative 4 comma 0 end set

A
start set y such that y is equal to negative 4 comma negative 2 comma negative 1 comma 0 comma 1 comma 3 comma 4 comma 5 comma 6 comma 9 end set
B
start set x such that x is equal to negative 4 comma negative 1 comma 3 comma 5 comma 6 end set
C
start set x such that x is equal to negative 4 comma negative 2 comma negative 1 comma 0 comma 1 comma 3 comma 4 comma 5 comma 6 comma 9 end set
D
start set y such that y is equal to negative 2 comma 0 comma 1 comma 4 comma 9 end set
6

Which table represents a function?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 4'; Column 2, '2' Row 3: Column 1, '3'; Column 2, '5' Row 4: Column 1, '1'; Column 2, '3' Row 5: Column 1, 'negative 4'; Column 2, '0'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 3'; Column 2, 'negative 1' Row 3: Column 1, '0'; Column 2, '0' Row 4: Column 1, 'negative 2'; Column 2, 'negative 1' Row 5: Column 1, '8'; Column 2, '1'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 5'; Column 2, 'negative 5' Row 3: Column 1, '0'; Column 2, '0' Row 4: Column 1, 'negative 5'; Column 2, '5' Row 5: Column 1, '6'; Column 2, 'negative 6'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'y' Row 2: Column 1, 'negative 4'; Column 2, '8' Row 3: Column 1, 'negative 2'; Column 2, '2' Row 4: Column 1, 'negative 2'; Column 2, '4' Row 5: Column 1, '0'; Column 2, '2'
7

To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation u=748⁢g, where g is the total number of gallons of water used and u is the number of units. Determine which statements about the relationship are true. Choose two correct answers.

A
u is the dependent variable.
B
g is the independent variable.
C
u is the independent variable.
D
The two variables cannot be labeled as independent or dependent without a table of values.
E
g is the dependent variable.
8

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

A
Image with description On a coordinate plane, solid circles appear at the following points: (negative 5, 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3).
B
Image with description On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3).
C
Image with description On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 1, 4), (1, 0), (2, 3), (2, negative 3), (3, 1).
D
Image with description On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 3, negative 4), (negative 3, 4), (negative 2, 1), (2, negative 3), (3, negative 1).
9

What is the range of this function?

A
all real numbers such that y is less than or equal to 40
B
all real numbers such that 37 point 7 5 is less than or equal to y comma y is less than or equal to 40
C
all real numbers such that 0 is less than or equal to y comma y is less than or equal to 40
D
all real numbers such that y is greater than or equal to 0
10

What is the range of the given function?

A
start set x such that x is equal to negative 5 comma 1 comma 4 comma 6 end set
B
start set x such that x is equal to negative 7 comma negative 5 comma negative 1 comma 0 comma 1 comma 4 comma 6 comma 9 end set
C
start set y such that y is equal to negative 7 comma negative 1 comma 0 comma 9 end set
D
start set y such that y is equal to negative 7 comma negative 5 comma negative 1 comma 0 comma 1 comma 4 comma 6 comma 9 end set

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