Introduction to Functions Answers

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4

On a coordinate plane, a curved line begins at point (negative 2, negative 3), crosses the y-axis at (0, negative .25), and the x-axis at (1, 0).

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 –2
D
all real numbers greater than or equal to –3
5

Which table represents a function?

A
Option
B
Option
C
Option
D
Option
6

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
7

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}
8

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}
9

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.

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