Introduction to Functions Answers

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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).

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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
2
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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}
3

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
5

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
6

Which table represents a function?

A
Option
B
Option
C
Option
D
Option
8

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

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