WorksheetsUnit 3 Review: Functions
Total questions: 35
Worksheet time: 2hrs 22mins
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.
How is f(x) read?
a)
the function f
b)
function notation
c)
f of x
d)
replaces y
3.
Evaluate each function for the given inputs.
For f(x) = -2x + 4,
find f(x) when x = -5
For f(x) = -2x + 4,
find f(x) when x = -5
a)
f(-5) = -6
b)
f(-5) = -3
c)
f(-5) = 14
d)
f(-5) = 2
4.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
5.
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
6.
Consider the function:{(3,11),(4,18),(5,27),(6,38)} What is the Domain?
a)
{4,11,5,18}
b)
{3,11,4,18}
c)
{3,4,5,6}
d)
{11,18,27,38}
7.
A relation is a set of:
a)
pictures.
b)
random numbers.
c)
geometric figures.
d)
ordered pairs.
8.
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.
9.
a)
Function
b)
Not a Function
10.
Identify the domain of the following relation:
a)
-6, 14, 2, 28
b)
(-6,14), (0,32), (2,38), (4,44)
c)
-6, 0, 2, 4
d)
14, 32, 38, 44
11.
What is the range of the following graph?
a)
all real numbers
b)
all integers
c)
any real number greater than zero
d)
it can not be determined
12.
What is the domain of the graph?
a)
1≤ x ≤ 4
b)
1 < x < 4
c)
1 ≤ y ≤ 4
d)
1 < y < 4
13.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
14.
Evaluate f(-2) if f(x) = x + 3
a)
-1
b)
1
c)
5
d)
-5
15.
Give the domain and range. Tell if it is a function.
a)
D: {-4, 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
16.
The set of x-coordinates of the ordered pairs of a relation is called?
a)
range
b)
relation
c)
domain
d)
correlation
17.
The set of y-coordinates of the ordered pairs of a relation is called?
a)
range
b)
relation
c)
domain
d)
correlation
18.
p(x) = 3x + 4
q(x) = 2x2
Find q(p(-2))
q(x) = 2x2
Find q(p(-2))
a)
8
b)
-8
c)
28
d)
None of these.
19.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))
g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
20.
Are the following inverses of each other?
a)
True
b)
False
21.
Using the pictured graph, what is f(-4)?
a)
-3
b)
-1
c)
1
d)
3
22.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
23.
a)
Function
b)
Not a Function
24.
A function is a special relation that has:
a)
No repeated x values.
b)
one output for each input.
c)
a single range value for each domain value.
d)
All of the above.
25.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
26.
1. What is this type of function called?
a)
Discrete Function
b)
Segment Function
c)
Step Function
d)
Jump Function
27.
On the graph, which portion of the piecewise function is represented in red?
a)
x
b)
0.5x + 2.5
c)
-1
d)
0.5x + 2
28.
What is f when x equals 0?
a)
-5
b)
0
c)
1/2
d)
1
29.
identify the vertex of the following function.
a)
(1,0)
b)
(-1,0)
c)
(0,1)
d)
(0,-1)
30.
What is the best way to describe this function?
a)
absolute value function
b)
ceiling function
c)
floor function
d)
greatest integer function
31.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
32.
Find the inverse of f(x) = 1/4x - 7
a)
f-1(x) = 4x + 7
b)
f-1(x) = -4x + 28
c)
f-1(x) = -4x - 7
d)
f-1(x) = 4x + 28
33.
What is the equation that the inverse will reflect across?
a)
y = x
b)
y = 0
c)
x = 0
d)
Potato
34.
Which of the following is the inverse of this graph?
a)
Parabola open up
b)
Parabola open left
c)
Parabola open right
d)
Parabola open down
35.
When creating an inverse you must...
a)
Switch the x and y
b)
Solve for x
c)
Draw a graph
d)
Potato
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