AnswersQ1 Algebra 2 Content RecoveryRelations and Functions

Relations and Functions Answers

0 verified answers1 views
1
Free Preview

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
2
Free Preview

What is the range of the function graphed below?

Question illustration
A
1 less-than-or-equal-to y less-than 4
Option A
B
Negative 3 less-than y less-than-or-equal-to 3
Option B
C
Negative 2 less-than-or-equal-to y less-than-or-equal-to 3
Option C
D
Negative 3 less-than-or-equal-to y less-than 4
Option D
3

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
4

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.
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

Given , what is ?

Question illustration
A
Negative 10
Option A
B
Negative 6
Option B
C
6
Option C
D
14
Option D
7

Which set represents the same relation as the graph below?

Question illustration
A
StartSet (4, negative 5), (negative 2, negative 3), (Negative 2, negative 1), (0, 2), (3, 3), (5, 4), (negative 4, 6) EndSet
Option A
B
StartSet (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4) EndSet
Option B
C
StartSet (negative 5, 4), (negative 3, negative 1), (3, 3), (4, 5), (6, negative 4) EndSet
Option C
D
StartSet (4, negative 5), (negative 3, 2), (negative 1, 2), (2, 0), (4, 5), (6, 4) EndSet
Option D
8

In which function is x = 2 mapped to 32?

A
f (x) = Negative 3 x squared minus 4
Option A
B
g (x) = 4 (x + 3) squared minus 68
Option B
C
h (x) = 3 x
Option C
D
j (x) = 2x minus 62
Option D
9

Given , find .

Question illustration
A
–334
B
–14
C
45
D
445
10

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
11

Which of the following graphs represents a one-to-one function?

A
On a coordinate plane, a function has two curves connected to a straight line. The first curve has a maximum of (negative 6, 4) and a minimum of (negative 4.5, negative 1). The second curve has a maximum of (negative 3.5, 2) and a minimum of (negative 2.5, 0.5). The straight line has a positive slope and starts at (negative 2, 1) and goes through (1, 2).
Option A
B
On a coordinate plane, a circle intersects the x=axis at (negative 2, 0) and (2, 0) and intercepts the y-axis at (0, 4) and (0, negative 4).
Option B
C
On a coordinate plane, a v-shaped graph is facing up. The vertex is at (0,0) and the function goes through (negative 4, 4) and (4, 4).
Option C
D
A coordinate plane has 7 points. The points are (negative 4, 1), (negative 3, 4), (negative 1, 3), (1, negative 3), (3, negative 4), (4, negative 2), (5, 3).
Option D
12

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
13

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)}
14

For what value of is the relation a function?

Question illustration
A
–1
B
1
C
2
D
12

Did you find these answers helpful?

More from this Course

Quiz
15 verified answers

Relations and Functions

Quiz
15 verified answers

Function Operations

Quiz
10 verified answers

Relations and Functions