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CH1: functions, domain & range, exponent laws, and order of operations

Total questions: 67

Worksheet time: 3hrs 27mins

Name
Class
Date
1.
Does this table represent a function?
a)
Yes!
b)
No!
c)
I Don't Know
2.
Is this graph a function? (Vertical Line test)
a)
Yes
b)
No
c)
I Don't Know
3.
Is this relation a Function?
a)
Yes
b)
No
c)
I Don't Know
4.
A graph is shown. What output is paired with the input of -3. 
a)
-2
b)
-3
c)
-1
d)
-5
5.
The following ordered pairs represent a relation.
{(1,3) , (5,15) , (2,6), (4,12) , (3,9)}
What are the range values from least to greatest!
a)
{1, 5, 2, 4, 3}
b)
{3, 15, 6, 12, 9}
c)
{3}
d)
{3, 6, 9, 12, 15}
6.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
7.
Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5
a)
Subtraction
b)
Division
c)
Multiplication
d)
Addition 
8.
Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
9.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
10.
a)
Function
b)
Not a Function
11.
a)
Function
b)
Not a Function
12.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
13.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
14.
What is the range of the following function, if the domain is {1,7,10}? 
f(x) = x + 4
a)
{-3,3,6}
b)
{1,7,10}
c)
{5,11,14}
d)
{4,28,40}
15.
3 x 22 + 24 ÷ 8
a)
15
b)
10.5
c)
4.5
16.

4 - 3 + 6 x 16

a)

97

b)

96

c)

144

d)

140

17.

What is the domain of the graph shown?

a)

{-2, -1, 0, 1, 2, 3, 4}

b)

{2, 3, 4}

c)

2 ≤ y ≤ 4

d)

-2 ≤ x ≤ 4

18.

Which set of ordered pairs is not a function?

a)

(1, 3), (2, 7), (3, 8), (4, 11)

b)

(2, 3), (4, 9), (3, 8), (4, 15)

c)

(1, 2), (3, 5), (6, 9), (7, 11)

d)

(-9, 4), (-6, 3), (-2, 8), (0, 21)

19.

For the function: f(x) = 7(x - 11), f (16) = _____

a)

5

b)

35

c)

16

d)

28

20.

Which graph is not a function?

a)
b)
c)
d)
21.

What is a function?

a)

A relation that maps every domain value to exactly one range value. Each input can have only one output.

b)

A relation that maps every range value to exactly one domain value. Each output can have only one input.

c)

Any set of ordered pairs.

d)

Any graph of x and y values.

22.

How can you tell if a graph is a function or not a function?

a)

See if it looks like a line or not

b)

Draw a vertical line and if it crosses the graph more than once, it's NOT a function

23.
Does this table represent a function?
a)
Yes!
b)
No!
c)
I Don't Know
24.

Is this graph a function? Why or why not?

a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

25.

Given  f(x)=2x+3f\left(x\right)=2x+3 , what is the value of  f(−10)f\left(-10\right) ?  

a)

-23

b)

-17

c)

23

d)

17

26.
What is the DOMAIN?
a)
(4, ∞)
b)
(-4, ∞)
c)
[-3, 3)
d)
(-3, 3]
27.
What is the RANGE?
a)
{-3, 3]
b)
all real numbers
c)
[-4, 5]
d)
[-4, ∞)
28.
What is the RANGE?
a)
all real numbers
b)
[1, ∞)
c)
(-∞, 1]
d)
none of these
29.

What is the DOMAIN? **Watch for the hole (open circle)

a)

-3 ≤ x < 2

b)

-3 < x ≤ 2

c)

-7 ≤ x ≤ 2

d)

-7 ≤ x < 2

30.
Is this a function? 
a)
Yes
b)
No
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.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
34.
In the exponent 34, the three represents____________ ?
a)
power
b)
base
c)
exponent
d)
integers
35.

Find the range of the graph below.

a)

-2 ≤ x < 4

b)

-3 < x ≤ 4

c)

-2 ≤ y < 4

d)

-3 < y ≤ 4

36.
Express the following in Interval Notation
 -8 ≤ x < 8 
a)
[-8, 8]
b)
[-8,8)
c)
(-8, 8]
d)
(-8, 8)
37.
What is the domain of the function?
a)
(3, ∞)
b)
[-3, ∞)
c)
(-∞, 4]
d)
(-∞, 4)
38.
What is the range?
a)
[-7,6]
b)
(-7,6)
c)
(-8, 2)
d)
[-8,2]
39.
What is the range of the graph?
a)
[-7, 5)
b)
[-3 , 1]
c)
[-3 , 1)
d)
[-7 , 5)
40.
What is the domain?
a)
(-3 , 3)
b)
[-4, 5]
c)
(-4, 5)
d)
(-3, 3]
41.
What is the domain of the graph?
a)
[ -∞, ∞]
b)
(-∞,∞)
c)
[-3 , 3]
d)
[-15, 9]
42.

What is the range of the graph?

a)

[-15, 9]

b)

(-∞, ∞)

c)

(-15, ∞)

d)

[-15, ∞)

43.
Simplify the following:
(x3)6
a)
x9
b)
x18
c)
x6
d)
x3
44.
What is the value of:
z0
a)
z2
b)
z
c)
0
d)
1
45.
What is the value of:
(23)3
a)
1
b)
4
c)
64
d)
512
46.
Simplify the following:
x-3
a)
1/x-3
b)
x3
c)
1/x
d)
1/x3
47.
Simplify the following:
x2x3
a)
x3
b)
x2
c)
x6
d)
X5
48.
What is the value of:
4-2
a)
1/4
b)
1/16
c)
16
d)
4
49.
3.) Simplify
(45x6y2) / (5x4y9)
a)
(9x2)/y7
b)
40x2y7
c)
9x2y7
d)
9x10y11
50.
Simplify: 
(9n4)(6n7)
a)
54n11
b)
15n11
c)
15n28
d)
54n28
51.
Simplify: 
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
52.
Simplify: 
x⁵⁄x³
a)
x²
b)
x
c)
1
d)
x⁸
53.
Simplify: 
6x5y2 / 2x4y2
a)
3xy
b)
4x
c)
3x
d)
4xy
54.

According to exponent rules, when we multiply terms with the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

55.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

56.

According to exponent rules, when we raise a power to another power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

57.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
58.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
59.
a)
a8b13
b)
a2b7
c)
a15b30
60.

Which expression is equivalent to the given?

a)
b)
c)
d)
61.

Which expression is equivalent to the given?

a)
b)
c)
d)
62.
Simplify the following:
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
63.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
64.

Which expression is equivalent to the given?

a)
b)
c)
d)
65.

Evaluate f(-2) if f(x) = x2+ 3

a)

-1

b)

1

c)

7

d)

-7

66.
Given g(x) = 3/4 x + 10, find g(-12). 
a)
g(-12) = 19
b)
g(-12) = 1
67.

How would you say f(x)

a)

f of x

b)

x of f

c)

f times x

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