Relations and Functions Answers

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−4 ___(a)___ x ___(b)___ 4

Answers:
−4 ___(a)___ x ___(b)___ 4 (a) (b):less than or equal to
−4 ___(a)___ x ___(b)___ 4 (a) (b):less than
2
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less than or equal to✔ less thangreater than or equal togreater than

A
less than or equal to
B
✔ less than
C
greater than or equal to
D
greater than
3

Use the drop downs to determine which symbols would complete the inequality for the range.

Answers:
Use the drop downs to determine which symbols would complete the inequality for the range. −2 ___(c)___ y ___(d)___ 5 (c) (d):less than or equal to
Use the drop downs to determine which symbols would complete the inequality for the range. −2 ___(c)___ y ___(d)___ 5 (c) (d):less than
4

less than or equal to✔ less thangreater than or equal togreater than

A
less than or equal to
B
✔ less than
C
greater than or equal to
D
greater than
8

Which ordered pairs prevent this relation from being a function?

A
(1, 4) and (1, 3), because they have the same x-value
B
(1, 3) and (–1, 3), because they have the same y-value
9

What does the notation f(0) mean? Multiply f by 0✔ the output (y-value) when x = 0the value of x when the output is 0

A
Multiply f by 0
B
✔ the output (y-value) when x = 0
C
the value of x when the output is 0
10

Check each graph below that represents a function

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

The graph above: one-to-one functionfunction (but not one-to-one) ✔ relation (but not a function)

A
one-to-one function
B
function (but not one-to-one)
C
✔ relation (but not a function)
12

What is the independent (input) variable?✔ n, the number of necklaces$6, the shipping costc, the total cost (in dollars)

Answers:
Selection 1:n, the number of necklaces
Selection 2:c, the total cost (in dollars)
14

Create your own real-world example of a relation that is a function. Domain: The set of Range: The set of

Answers:
Create your own real-world example of a relation that is a function. Domain: The set of:students in a class
Create your own real-world example of a relation that is a function. Domain: The set of:the birth months of those students
15

−4 ___(a)___ x ___(b)___ 4

Answers:
Selection 1:n, the number of necklaces
Selection 2:c, the total cost (in dollars)
16

Domain: {–1}{–1, 2, 4, 5}✔ {–3, –1, 1}{–3, –1, 1, 2, 4, 5}

Answers:
Selection 1:{–3, –1, 1}
Selection 2:{–1, 2, 4, 5}
17

Which ordered pairs prevent this relation from being a function?

A
(1, 4) and (1, 3), because they have the same x-value
B
(1, 3) and (–1, 3), because they have the same y-value
18

Explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of function in your answer.

Answer:

If a vertical line intersects a graph more than once, then the graph has more than one y-value for a given x-value. By definition, a function can have only one y-value for each x-value, so the graph does not represent a function.

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