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ALG IA - 1.6 & 1.7 - Relations and Functions

Total questions: 20

Worksheet time: 29mins

Name
Class
Date
1.
A set of ordered pairs is called what?
a)
Coordinates
b)
Relation
c)
Function
d)
Vertical Line Test
2.

What is the domain?

a)

the set of all x-values

b)

the set of all y-values

3.

What is the range?

a)

the set of all x-values

b)

the set of all y-values

4.
What is the domain of the following graph?
a)
D: {-5, -1,  0 , 1, 5}
b)
D: {-4, -2, 0, 3, 6}
5.

What is the range of the following graph?

a)

R: {-5, -1, 0 , 1, 5}

b)

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

6.
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}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D:{0, 1, 2, 3}
R:{0, 1, 2, 3, 4}
7.
Which type of relation is shown?
a)
Mapping
b)
Graph
c)
Table
d)
Set of ordered pairs
8.
Determine the correct relation for the points shown on this graph.
a)
{(-3,4), (-4,3),(-4,1),(-2,-4)}
b)
{(-4,1),(1,2),(-1,-4),(-3,-4)}
c)
{(-2,3),(-4,3),(-1,2),(-4,-2)}
d)
{(-3,4),(3,4),(1,-4),(-2,-4)}
9.
Which Table represents the relation {(2,5),(-7,-7),(-1,-2),(5,-1)}?
a)
A
b)
B
c)
C
d)
D
10.

What is the domain of the relation {(5,-6),(1,6),(-3,-4),(-5,-5}?

a)

{-5,-3,1,5}

b)

{-6,-5,-4,6}

c)

{-5,-3,1,-5}

d)

{-5,-4,6}

11.
What is the range of the relation {(7,3),(5,6),(-2,-4),(-4,3)}
a)
{7,5,-2,-4}
b)
{-2,5,7}
c)
{-4,3,6}
d)
{3,6,-4,3}
12.
What is the domain of this relation?
a)
{-8,4,4,6}
b)
{-8,4,6}
c)
{-4,2,2,8}
d)
{-4,2,8}
13.
If f(x)=3x-1 and g(x)=2x2-3, what is the value of f(2)+g(3)?
a)
5
b)
13
c)
20
d)
38
14.
Determine which of the following relations is NOT a function.
a)
A non-vertical linear graph.
b)
A set of ordered pairs where an x term repeats.
c)
A set of ordered pairs where a y term repeats.
d)
A U-shaped graph.
15.
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.
16.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
17.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
18.
Give the domain and range. Tell if it is a function.
a)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
b)
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
c)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
d)
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
19.

What is another name for values for y?

a)

Independent Variable

b)

Dependent Variable

c)

Relation

d)

Function

20.

Another name for the values of x is called?

a)

independent Variable

b)

Dependent Variable

c)

Relation

d)

Function