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Introduction to Functions Answers

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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}
3

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

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}
6

On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses the y-axis at (0, 2) and the x-axis at (2, 0).

Question illustration
A
all real numbers
B
all real numbers less than or equal to –1
C
all real numbers less than or equal to 3
D
all real numbers less than or equal to 0
8

On a coordinate plane, solid circles appear at the following points: (negative 2, negative 5), (negative 1, 3), (1, negative 2), (3, 0), (4, negative 2), (4, 4).

Question illustration
A
It is not a function because the points are not connected to each other.
B
It is not a function because the points are not related by a single equation.
C
It is not a function because there are two different x-values for a single y-value.
D
It is not a function because there are two different y-values for a single x-value.
9

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
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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