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Unit 3 Review

Total questions: 27

Worksheet time: 2hrs 50mins

Name
Class
Date
1.

What is the definition of function?

a)

Each input has outputs

b)

Each input has exactly one output

c)

Each output has exactly one input

d)

A list of x-values and y-values

2.

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)}

3.

Given: {(5, 2), (7, 4), (9, 10), (x, 5)}, which of the following values substituted for x will make this relation a function?

a)

7

b)

9

c)

4

d)

5

4.
a)
Function
b)
Not a Function
5.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
6.
State the domain of the given relation:
a)
{2, 3, 7}
b)
{1, 4}
c)
{1, 2, 3, 4, 7}
7.
State the domain of the graphed function.
a)
-1 ≤ 𝒙 ≤ 3
b)
-2 ≤ 𝒚 ≤ 4
c)
-2 ≤ 𝒙 ≤ 4
d)
-1 ≤ 𝒚 ≤ 3
8.
State the range of the given relation.
a)
{2, 3, 7}
b)
{1, 4}
c)
{1, 2, 3, 4, 7}
9.
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
10.

Domain?

a)

x ≤ –1

b)

x ≥ –1

c)

x < –1

d)

x ≥ –5

e)

x ≤ –5

11.

Range?

a)

y ≤ –1

b)

y ≥ –1

c)

y < –1

d)

y ≥ –5

e)

y ≤ –5

12.
What is the y-intercept?
a)
2
b)
3
c)
4
d)
-2
13.

Find the x-intercept of the equation below.

2x3y=242x-3y=24  

a)

(12,0)\left(12,0\right)  

b)

(0,12)\left(0,12\right)  

c)

(8,0)\left(-8,0\right)  

d)

(2,3)\left(2,-3\right)  

14.

What is another name for the x-intercept of a graph?

a)

y-intercept

b)

Zero

c)

x-axis

d)

They don't have another name

15.

What are the x- and y- intercepts, respectively, on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

16.

Identify the x- and y-intercepts

a)

x-intercept: (-5, 0)

y-intercept: (0, -2)

b)

x-intercept: (2, 0)

y-intercept: (0, 5)

c)

x-intercept: (-2, 0)

y-intercept: (0, -5)

d)

x-intercept: (0, 5)

y-intercept: (2, 0)

17.

What is the zero of the following function:

f(x)=3x+9f\left(x\right)=-3x+9  

a)

3

b)

9

c)

-3

d)

-9

18.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
19.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
20.
Find the slope of:
2y + 8x = 6
a)
8
b)
-4
c)
3
d)
4
21.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
22.

In "y = mx + b", the "m" represents ______.

a)

y-intercept

b)

x-intercept

c)

slope

d)

the formula

23.

A vertical line has a slope of ___

a)

undefined

b)

zero

c)

1

d)

-1

24.

A horizontal line has a slope of _______

a)

1

b)

undefined

c)

zero

d)

-1

25.
f(x)=4x+5
f(4)=
a)
21
b)
-11
c)
-31
d)
25
26.
Evaluate f(x)=-2x+13   for f(10)
a)
-7
b)
1
c)
-8
d)
7
27.

If g(x)=3x25g\left(x\right)=3x^2-5  , what is the value of g(2)g\left(-2\right)  ?

a)

11-11  

b)

17-17  

c)

77  

d)

11