AnswersFL-1200330-Algebra 2 Sem 1 - FlexRelations and Functions

Lesson 2.1: Relations and Functions Answers

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1
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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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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}
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

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}
5

Which expression means “the total cost, including shipping, of 5 necklaces”? n(5)✔ c(5)c(5)+6

A
n(5)
B
✔ c(5)
C
c(5)+6
6

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}
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

What is the domain of the relation? X -64✔ -46

Question illustration
A
X -6
B
4
C
✔ -4
D
6
9

The set of ordered pairs above: ✔ functionnot a function

A
✔ function
B
not a function
10

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
11

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
12

Check each graph below that represents a function

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

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)
14

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)
15

This relation is ✔ not a functiona function.

A
✔ not a function
B
a function
16

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.

17

Compare your response to the sample response above. What did your explanation include?

A
It describes a vertical line passing through the graph more than once.
B
It refers back to the definition of a function.
18

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
19

What is the range of the relation? ✔ 46-4-6

Question illustration
A
✔ 4
B
6
C
-4
D
-6
20

The mapping diagram above: ✔ functionnot a function

A
✔ function
B
not a function

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