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

Relations and Functions Answers

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Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation.

A
the set of tree heights and the set of trees in a forest
B
the set of car make and models and the set of people in a certain town
C
the set of birthdays and the set of students in a class
D
the set of people with Social Security cards and the set of Social Security numbers
2
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Which relation represents a function?

A
StartSet (0, 0), (2, 3), (2, 5), (6, 6) EndSet
Option A
B
StartSet (3, 5), (8, 4), (10, 11), (10, 6) EndSet
Option B
C
StartSet (negative 2, 2), (0, 2), (7, 2), (11, 2) EndSet
Option C
D
StartSet (13, 2), (13, 3), (13, 4), (13, 5) EndSet
Option D
3

What is the range of the relation in the table below?xy–20–12041220

A
range:
Option A
B
range:
Option B
C
range:
Option C
D
range:
Option D
4

What is the domain of the relation graphed below?

Question illustration
A
domain: {–5, –4, –3, –2, 0, 1, 2, 3, 4, 5}
B
domain: {–3, –2, 0, 1, 4}
C
domain: {–5, –4, –3, 1, 2, 5}
D
domain: {(–5, 0), (–4, 1), (–3, 4), (1, –2), (2, 4), (5, –3)}
5

At which value in the domain does ?

Question illustration
A
x = negative 3
Option A
B
x = 0
Option B
C
x = 1
Option C
D
x = 4
Option D
6

Which table represents the same relation as the set ?

Question illustration
A
A 2-column table has 4 rows. The first column is labeled x with entries negative 6, 4, negative 4, 0. The second column is labeled y with entries negative 3, 2, negative 1, 2.
Option A
B
A 2-column table has 4 rows. The first column is labeled x with entries negative negative 6, negative 4, negative 3, negative 1. The second column is labeled y with entries 4, 0, 2, 2.
Option B
C
A 2-column table has 4 rows. The first column is labeled x with entries 6, 4, 3, 1. The second column is labeled y with entries negative 6, negative 4, negative 3, negative 1.
Option C
D
A 2-column table has 4 rows. The first column is labeled x with entries negative 4, 0, 2, 2. The second column is labeled y with entries negative 6, negative 4, negative 3, negative 1.
Option D
7

Which function rule models the function over the domain specified in the table below?xf(x)–7–11–1139411717

A
f(x) = 3x + 10
B
f(x) = 2x + 3
C
f(x) = 4x + 5
D
f(x) = 3x – 10
8

For what value of is the relation a function?

Question illustration
A
–1
B
1
C
2
D
12
9

Given the graph below, which of the following statements is true?

Question illustration
A
The graph represents a one-to-one function because every x-value is paired with only one y-value.
B
The graph represents a one-to-one function because it is defined for all x-values.
C
The graph does not represent a one-to-one function because it does not pass through the origin.
D
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
10

Which set represents the same relation as the table below?xf(x)054269910

A
StartSet (0, 5), (4, 2), (6, 9), (9, 10) EndSet
Option A
B
StartSet (5, 0), (2, 4), (9, 6), (10, 9) EndSet
Option B
C
StartSet 0, 2, 4, 5, 6, 9, 10 EndSet
Option C
D
StartSet 2, 5, 9, 10 EndSet
Option D

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