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

Relations and Functions Answers

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

Question illustration
A
X -6
B
4
C
✔ -4
D
6
2
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What is the range of the relation? ✔ 46-4-6

Question illustration
A
✔ 4
B
6
C
-4
D
-6
3

Is the relation a function? yesX no

A
yes
B
X no
4

The table above: function✔ not a function

A
function
B
✔ not a function
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

The set of ordered pairs above: ✔ functionnot a function

A
✔ function
B
not a function
7

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
8

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
9

f(0) =

Answer:

3

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

Question text not available

Answers:
Selection 1:n, the number of necklaces
Selection 2:c, the total cost (in dollars)
13

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

This relation is ✔ not a functiona function.

A
✔ not a function
B
a function
15

Which fact(s) did you include in your explanation?

A
Every domain element is paired with only one range element.
B
No two pairs share the same domain element.
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

The mapping diagram above: ✔ functionnot a function

A
✔ function
B
not a function
19

Suppose that you could replace the ordered pair (1, 4) to make the relation R (shown left) into a function. Which ordered pair would work?

A
(1, 2)
B
(–1, 4)
C
(2, 3)
D
(4, 15)
20

What is the special name of f(0)? the x-intercept✔ the y-intercept

A
the x-intercept
B
✔ the y-intercept

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