Relations and Functions Answers

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−4 ___(a)___ x ___(b)___ 4

Answers:
Selection 1:n, the number of necklaces
Selection 2:c, the total cost (in dollars)
2
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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}
3

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

A
{–1}
B
✔ {–1, 2, 4, 5}
C
{–3, –1, 1}
D
{–3, –1, 1, 2, 4, 5}
4

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
5

Domain: {–2, –1, 0, 2, 3, 4}✔ {–2, –1, 0, 4}{–2, 2, 3, 4}

Answers:
Selection 1:{–2, –1, 0, 4}
Selection 2:{–2, 2, 3, 4}
6

Range: {–2, –1, 0, 2, 3, 4}{–2, –1, 0, 4}✔ {–2, 2, 3, 4}

A
{–2, –1, 0, 2, 3, 4}
B
{–2, –1, 0, 4}
C
✔ {–2, 2, 3, 4}
7

−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
8

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
9

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
10

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
16

✔ functionnot a function

Question illustration
A
✔ function
B
not a function
18

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
20

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

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