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Introduction to Functions Answers

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1
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A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 9), (2, negative 6), (negative 5, 4), (1, 2), (6, 0).

Question illustration
A
{x | x = –5, –3, 1, 2, 6}
B
{y | y = –9, –6, 0, 2, 4}
C
{x | x = –9, –6, –5, –3, 0, 1, 2, 4, 6}
D
{y | y = –9, –6, –5, –3, 0, 1, 2, 4, 6}
2
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Which graph shows a set of ordered pairs that represents a function?

A
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).
Option A
B
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).
Option B
C
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).
Option C
D
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).
Option D
3

On a coordinate plane, a curved line begins at point (1, 2) and ends at (5, 4).

Question illustration
A
all real numbers
B
all real numbers greater than or equal to 0
C
all real numbers greater than or equal to 1
D
all real numbers greater than or equal to 2
4

Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.

Question illustration
A
all real numbers such that y ≤ 40
B
all real numbers such that y ≥ 0
C
all real numbers such that 0 ≤ y ≤ 40
D
all real numbers such that 37.75 ≤ y ≤ 40
5

Which statements apply to the ratio of rice and water? Choose two options.

A
The amount of rice is the dependent value.
B
The amount of water is the dependent value.
C
The amount of rice is the independent value.
D
The amount of water is the independent value.
E
The values cannot be labeled as dependent or independent without a given equation.
6

What is the domain of the given function?{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}

A
{x | x = –4, –1, 3, 5, 6}
B
{y | y = –2, 0, 1, 4, 9}
C
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
D
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
7

The table shows ordered pairs of the function . What is the value of y when ?

Question illustration
A
–20
B
–8
C
8
D
48
8

On a coordinate plane, a line with a 90-degree angle crosses the y-axis at (0, 1), the x-axis at (1, 0), turns at (3, negative 2), and crosses the x-axis at (5, 0).

Question illustration
A
Option
Option A
B
Option
Option B
C
0
D
3
9

On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4), (2, negative 4), (2, negative 2).

Question illustration
A
1 point
B
2 points
C
3 points
D
0 points
10

What is the range of the given function?{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

A
{x | x = –5, –4, –2, 0, 2}
B
{y | y = –9, –3, 0, 5, 7}
C
{x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
D
{y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}

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