Font size
S
M
L
XL
WorksheetsFunctions/Relations Test
Total questions: 67
Worksheet time: 5hrs 40mins
Name
Class
Date
1.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a Function
2.
a)
Function
b)
Not a Function
3.
a)
Function
b)
Not a Function
4.
a)
Function
b)
Not a Function
5.
Is this mapping a function and how can you tell?
a)
Yes its a function cause all the numbers have lines
b)
No it's not a function because there a 5 in both ovals
c)
No it's not a function because the x value 5 has y values of 2 & 9
d)
No it's not a function because the y value 5 has x values of 2 & 9
6.
g(x) = 11 - x
Find g(x) = -7
Find g(x) = -7
a)
4
b)
17
c)
18
d)
-77
7.
f(x)=x2-5x
f(4)=
f(4)=
a)
-4
b)
126
c)
24
d)
84
8.
Suppose f(x) = x2 - 8. Evaluate f(2) - f(3).
a)
-7
b)
5
c)
-1
d)
-5
9.
Give the domain and range. Tell if it is a function.
a)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
R: {-2, -2, 1, 1}
Function
b)
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
R: {-2, 1}
Function
c)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
R: {-2, -2, 1, 1}
Not a Function
d)
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
R: {-2, 1}
Not a Function
10.
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
11.
a)
Function
b)
Not a Function
12.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
13.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
14.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
15.
Which of these is NOT the same
a)
Range
b)
Input
c)
Dependent Value
d)
Y-Value
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:{0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
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.
A set of ordered pairs is called what?
a)
Coordinates
b)
Relation
c)
Function
d)
Vertical Line Test
19.
Given the points (3, 5) (2, 4) (9, 0) and (?, 6). What could replace the ? to create a non-function?
a)
1
b)
3
c)
4
d)
7
20.
Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)
a)
(3, 7)
b)
(4, 1)
c)
(1, 9)
d)
(2, 6)
21.
Is this table a function or not a function?
a)
Function
b)
Not a Function
22.
Give the domain and range. Tell if it is a function.
a)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
R: {-2, -2, 1, 1}
Function
b)
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
R: {-2, 1}
Function
c)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
R: {-2, -2, 1, 1}
Not a Function
d)
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
R: {-2, 1}
Not a Function
23.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
24.
If f(x)=2x+25, find f(5).
a)
f(5) = 60
b)
f(5) = 40
c)
f(5) = -15
d)
f(5) = 35
25.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
26.
Evaluate f(-2) if f(x) = x2+ 3.
a)
-1
b)
1
c)
7
d)
-7
27.
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:{0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
28.
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)
29.
f(x)=2x+1
If f(x)=4, what is the value of x?
If f(x)=4, what is the value of x?
a)
3/2
b)
2
c)
1/2
d)
4
30.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
31.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
32.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
33.
Is this table a function or not a function?
a)
Function
b)
Not a Function
34.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
35.
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.
36.
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
37.
g(x) = 5 − 6x
g(−5) = ?
(a)
38.
f(x) = 3x2 − 11
f(−5) = ?
(a)
39.
f(x) = −2x − 12
f(−5) = ?
a)
−22
b)
−2
c)
−19
d)
−5
40.
f(x) = −2x + 13
f(10) = ?
a)
−7
b)
1
c)
−8
d)
7
41.
f(x) = 4x + 5
f(4) = ?
(a)
42.
h(x) = −x2 + 3x
h(−3) = ?
a)
0
b)
−18
c)
−12
d)
−6
43.
f(x) = −2x + 13
f(−4) = ?
a)
21
b)
5
c)
−8
d)
7
44.
f(t) = −2t2 + 1
f(−3) = ?
a)
19
b)
37
c)
−17
d)
−11
45.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each y-value has only one x-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each y-value has only one x-value paired with it.
46.
If my function rule is x + 3, what is the OUTPUT if the input is 4?
a)
4
b)
3
c)
7
d)
10
47.
If my function rule is 2x + 1, what is the OUTPUT if the input is 2?
a)
5
b)
4
c)
22
d)
23
48.
If my function rule is x - 4, what is my INPUT if the output is 7?
a)
11
b)
10
c)
3
d)
7
49.
Solve:
a)
A
b)
B
c)
C
d)
D
50.
Solve:
a)
A
b)
B
c)
C
d)
D
51.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
52.
0 < x + 7 < 9
a)
-7<x and x<2
b)
-7<x or x<2
c)
-7>x and x>2
d)
-7>x or x>2
53.
x + 2 < -4 or -5x < -15
a)
-6 < x < 3
b)
x < -3 and x > 6
c)
x < -6 or x > 3
d)
No Solution
54.
2 < x + 2 < 5
a)
0 < x < 3
b)
4 < x < 7
c)
4 < x < 3
d)
0 < x < 7
55.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
56.
a)
A
b)
B
c)
C
d)
D
57.
Solve:
a)
A
b)
B
c)
C
d)
D
58.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
59.
What inequality is graphed?
a)
x > 2 and x < 4
b)
x ≥ 2 and x ≤ 4
c)
x > 2 or x < 4
d)
x ≥ 2 or x ≤ 4
60.
What inequality is graphed?
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
61.
Solve: -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
62.
Solve:
-4x + 1 ≤ 21 and 5x + 2 < 22
-4x + 1 ≤ 21 and 5x + 2 < 22
a)
x > -5 or x ≤ 4
b)
x ≥ -5 or x < 4
c)
x > -5 and x ≤ 4
d)
x ≥ -5 and x < 4
63.
Solve:
3x + 2 < -4 or 4x + 4 > 24
3x + 2 < -4 or 4x + 4 > 24
a)
x < -2 or x > 5
b)
x < 2 or x > 5
c)
x < -2 and x > 5
d)
x < 2 and x > 5
64.
Solve:
3x + 2 < -7 or -4x + 5 < 1
3x + 2 < -7 or -4x + 5 < 1
a)
x < -3 and x < 1
b)
x < -3 and x > 1
c)
x < -3 or x < 1
d)
x < -3 or x > 1
65.
a)
A
b)
B
c)
C
d)
D
66.
Solve: -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-2 ≤ x ≤ 6
c)
-3 ≤ x ≤ 3
d)
1 ≤ x ≤ 3
67.
x + 8 < 3 or - 8x < -40
a)
x > -5 or x < 5
b)
x < -5 and x > 5
c)
x < -5 or x > 5
d)
x > -5 and x < 5
Reset
