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WorksheetsRelations & Functions
Total questions: 40
Worksheet time: 3hrs 39mins
Name
Class
Date
1.
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
2.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
3.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
4.
Which relation is NOT a function?
a)
{(1,-5), (3,1), (-5,4), (4,-2)}
b)
{(2,7), (3,7), (4,7), (5,8)}
c)
{(1,-5), (-1,6), (1,5), (6,-3)}
d)
{(3,-2), (5,-6), (7,7), (8,8)}
5.
Which of the following is not a function?
a)
{(0,1), (1,2), (2,3), (3,4)}
b)
{(0,2), (1,3), (4,3), (1,2)}
c)
{(1,3), (4,2), (2,0), (3,4)}
d)
{(1,2), (2,2), (3,2), (4,2)}
6.
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.
7.
Is this a function?
a)
Yes
b)
No
8.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
9.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
10.
For h(x) = x3 + 2x, find h(4).
a)
20
b)
14
c)
64
d)
72
11.
a)
Function
b)
Not a Function
12.
Is the graph pictured a function?
a)
Yes
b)
No
13.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
14.
What is the domain of the graph?
a)
b)
c)
d)
15.
a)
Function
b)
Not a Function
16.
f(x)=x2-2x+1
Evaluate the function for f(-1).
Evaluate the function for f(-1).
a)
f(-1)=4
b)
f(-1)=0
c)
f(-1)=2
d)
f(-1)=-1
17.
The table of values are shown. What is the range of the relation? From least to greatest.
a)
(-4,-8,-3)
b)
(-3,2,6)
c)
(-8,-4,4)
d)
(6,2,-3)
18.
f(x)=x2-5x
f(4)=
f(4)=
a)
-4
b)
126
c)
24
d)
84
19.
Evaluate f(x)=-2t2+ 1 for f(-3)
a)
19
b)
37
c)
-17
d)
-11
20.
Evaluate f(x)=-2x+13 for f(10)
a)
-7
b)
1
c)
-8
d)
7
21.
Evaluate f(x) = x2 for f(-8)
a)
64
b)
-64
c)
-16
d)
16
22.
Given
f(x)= 2x2 + 5x - 17, find f(-1).
f(x)= 2x2 + 5x - 17, find f(-1).
a)
f(-1) = -20
b)
f(-1) = -24
23.
Given that f(x) = 2x - 2 and g(x) = 5x. Find the value of f(0) + g(3).
a)
13
b)
15
c)
17
d)
0
24.
Given that g(x) = -3x and h(x) = 3x. Find the value of g(1)⋅h(1)
a)
-9
b)
-6
c)
0
d)
3
25.
Evaluate the function for the given value.
f(x)=21x+17; f(6)
a)
f(6)=20
b)
f(6)=3
c)
f(6)=14
26.
Evaluate the function for the given value.
f(x)=3x−9; f(2)
a)
f(2)=6
b)
f(2)=−6
c)
f(2)=−3
27.
What can you do to tell if this is a function?
a)
Use the horizontal line test
b)
Use the vertical line test
c)
Calculate the slope
d)
Guess since you have a 50/50 chance
28.
For this line, what are both the Domain and Range if the line continues forever?
a)
0
b)
No Solution
c)
{-∞, ∞}
d)
{-10,10}
29.
A set of ordered pairs is called what?
a)
Coordinates
b)
Relation
c)
Function
d)
Vertical Line Test
30.
What is the Domain?
a)
-3 ≤ x < 5
b)
-3 ≤ y < 5
c)
-8 ≤ x < 5
d)
-8 ≤ y < 5
31.
What is the domain of the graph?
a)
-3 ≤ x ≤ 3
b)
3 ≤ x ≤ -3
c)
-2 ≤ x ≤ 10
d)
-3 ≤ x ≤ 10
32.
The Vertical line test states, that it IS a function when it hits the line how many times?
a)
1
b)
2 or more
c)
5
d)
infinity
33.
True or false?
Domain means y-axis and Range means x-axis?
Domain means y-axis and Range means x-axis?
a)
True
b)
False
c)
Maybe
d)
I don't know
34.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
35.
Which axis runs horizontally?
a)
x
b)
y
36.
Which axis runs vertically?
a)
x
b)
Y
37.
Which equations fits the table?
a)
y = 6x
b)
y = x + 6
c)
y = -x + 6
d)
y = x - 6
38.
Which equation fits the table?
a)
y = 10x - 20
b)
y = 10x + 20
c)
y = -20x
d)
y = 10x
39.
Is this a function?
a)
Yes
b)
No
40.
Does the following represent a function?
a)
Yes
b)
No
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