WorksheetsUnderstanding Relations and Functions
Total questions: 33
Worksheet time: 2hrs 27mins
Name
Class
Date
1.
a)
Function
b)
Not a Function
2.
Is this a function?
a)
Function
b)
Not a Function
3.
Is this table a function or not a function?
a)
Function
b)
Not a Function
4.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
5.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
6.
Does the graph represent a function?
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
7.
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.
8.
Is this a function?
a)
Yes
b)
No
9.
a)
Function
b)
Not a Function
10.
A set of ordered pairs is called what?
a)
Coordinates
b)
Relation
c)
Function
d)
Vertical Line Test
11.
A relation where every input in matches with exactly one output is called what?
a)
Relation
b)
Linear
c)
Exponential
d)
Function
12.
What is the domain?
a)
the set of all x-values
b)
the set of all y-values
13.
What is the range?
a)
the set of all x-values
b)
the set of all y-values
14.
Which type of relation is shown?
a)
Mapping
b)
Graph
c)
Table
d)
Set of ordered pairs
15.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
16.
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}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
R: {1, -3, -4, 1}
17.
What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
a)
{-4, 4, 8, 9}
b)
{-2, 3, 8, 10}
c)
{(9, -2) ( 4, 3)}
d)
{(8, 10) (-4, 8)}
18.
What is the Domain of this linear function?
a)
-3 < x ≤ 5
b)
x = -1
c)
5 < x ≤ -3
d)
-2 < x ≤ 6
19.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
20.
What is the Domain?
a)
-3 < x ≤ 3
b)
-4 ≤ x < 5
c)
-4 ≤ y ≤ 5
d)
-3 < y ≤ 3
21.
What is the range?
a)
-7≤x≤6
b)
-7<x<6
c)
-8<y<2
d)
-8≤y≤2
22.
Evaluate f(-4) if f(x) = x - 6
a)
-2
b)
2
c)
-10
d)
12
23.
f(-7) if f(x) = 3x + 6
a)
27
b)
-31
c)
-15
d)
-21
24.
f(2) if f(x) = x2 + 3x + 4
a)
12
b)
10
c)
14
d)
38
25.
f(-4) if (x) = x2+ 3x + 4
a)
4
b)
0
c)
-28
d)
8
26.
What is the domain of the graph?
Remember: Domain is x
Remember: Domain is x
a)
1≤ x ≤ 4
b)
1 < x < 4
c)
1≤ y ≤ 4
d)
1 < y < 4
27.
What is the domain of the graph?
a)
y≥1
b)
x ≥ 1
c)
All real numbers
d)
none of these
28.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
29.
What is the domain?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
30.
What is the RANGE of this graph?
a)
-7<x<5
b)
-7≤y<5
c)
-3<x<1
d)
-3≤y<1
31.
What is the DOMAIN of this function?
a)
-8≤y≤8
b)
-8≤x≤8
c)
-5<x<5
d)
All Real Numbers
32.
What is the Domain of this linear function?
a)
-6 ≤ x ≤ 6
b)
0 ≤ x ≤ 7
c)
2 ≤ x ≤ 7
d)
No Solution
33.
What is the range of the graph?
a)
y≥1
b)
x≥1
c)
All real numbers
d)
none of these
100 %
