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Algebra 2 Quiz 3 - Relations & Functions HW 1A - 1B

Total questions: 20

Worksheet time: 43mins

Name
Class
Date
1.

What is the domain of the graph?

a)

[1, 4]

b)

(1, 4]

c)

[1, 4)

d)

(1, 4)

2.

What is the range of the graph?

a)

[-7, 5)

b)

[-3, 1)

c)

(-3, 1)

d)

[-7, 5]

3.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)

D:{0, 1, 2, -4}

R:{1, -3, -4, 1}

c)

D:{0, 1, 2, 3, 4}

R:{1, -3, -4}

d)

D:{0, 1, 2, 3, 4}

R:{1, -3, 4}

4.
What is the range of the following graph?
a)

{-5, -1,  0 , 1, 5}

b)

{-4, -2, 0, 3, 6}

c)
(-4, 1)  ( 6, 0)
d)
(6, 0)
5.
A set of ordered pairs is called what?
a)
Coordinates
b)
Relation
c)
Function
d)
Vertical Line Test
6.

Given g(x)=x23x+12g\left(x\right)=x^2-3x+12  .

Find g(5)g\left(-5\right)  

(a)  

7.

Given f(x)=3x+7f\left(x\right)=-3x+7   and g(x)=x23x+12g\left(x\right)=x^2-3x+12  .

Find f(3)g(6)f\left(3\right)-g\left(-6\right)  

(a)  

8.

Given h(x)=8x+3h\left(x\right)=-8x+3  .

If h(x)=59h\left(x\right)=59  , Find xx  .

(a)  

9.

What is the definition of a function?

(Type in your answer)

4 lines
10.

Given f(x)=x25xf\left(x\right)=x^2-5x  . Find f(4)f\left(4\right)  .

a)
-4
b)
126
c)
24
d)
84
11.

Given the relation A = {(5, 2), (7, 4), (9, 10), (x, 5)}. Check all of the following values for x that will make relation A a function?

a)

7

b)

9

c)

4

d)

5

e)

2

12.

Which graph represents a function?

a)
b)
c)
d)
13.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
14.

What variable represents the domain?

a)

x

b)

y

c)

d

d)

r

15.

What variable represents the range?

a)

x

b)

y

c)

d

d)

r

16.

Find f(3) + g(2) if f(x)= x+2 and g(x)=5x-1

(a)  

17.

Find f(2)g(2)f\left(2\right)-g(2) if f(x)=4x+10f(x)=4x+10   and g(x)=3x7g(x)=3x-7  

(a)  

18.

A relation on a graph is a funtion if...

a)

all X's repeat

b)

Passes the vertical line test

c)

Each input has more than one output

19.

Select all the ways in which relations can be represented

a)

Ordered Pairs

b)

Graphs

c)

Sentences

d)

Mapping Diagrams

20.

What type of presentation is shown in the figure?

a)

Set of ordered pairs

b)

Table of values

c)

Mapping Diagram

d)

Graph