Free Printable Unit 3 Functions, Equations, and Graphs Review

1.

Which set of ordered pairs does NOT represent a function?

a)

{(1,2), (3,4), (5,6), (7,8)}

b)

{(-1,1), (0,1), (1,1), (2,1)}

c)

{(2,2), (3,3), (4,4), (5,5)}

d)

{(0,-1), (0,0), (0,1), (0,2)}

2.

What are the x-intercepts of the function shown in the graph?

a)

-2, -2, 1, and 2

b)

4

c)

0

d)

1 and 2

3.

If $f\left(x\right)=\left|-3x-10\right|$ f(-3) = _?

(a)

4.

What is the equation of line with slope

m=\frac{1}{2}

and y-intercept (0, -4), in slope-intercept form?

a)

$y=-4x+\frac{1}{2}$

b)

$y=\frac{1}{2}x-4$

c)

$y=\frac{1}{2}x-4$

d)

$y=\frac{1}{2}x$

5.

Rewrite the equation

-6x+2y=10

in slope-intercept form.

a)

$2y=6x+10$

b)

$y=-3x+5$

c)

$y=\frac{1}{3}x+\frac{1}{5}$

d)

$y=3x+5$

6.

Which is the graph of

y=\frac{2}{3}x-4

?

a)

A

b)

B

c)

C

d)

D

7.

What is the equation of the graph in the picture?

a)

$y=-\frac{1}{2}x+5$

b)

$y=-2x+5$

c)

$y=2x+5$

d)

$y=2.5x+5$

8.

Which equation represents the graph in the picture?

Hint: Equations of horizontal lines are written y = #, and equations of vertical lines are written x = #

a)

x = -4

b)

x = -2

c)

y = -4

d)

y = -2

9.

Which equation represents the graph in the picture?

Hint: Equations of horizontal lines are written y = #, and equations of vertical lines are written x = #

a)

x = -3

b)

x = 3

c)

y = -3

d)

y = 3

10.

What is the equation that defines the graph of

y=x^3

after it is shifted 7 units down and 3 units left?

a)

$y=\left(x+3\right)^3-7$

b)

$y=\left(x+7\right)^3-3$

c)

$y=\left(x-7\right)^3-3$

d)

$y=\left(x-3\right)^3-7$

11.

The graph of

y=x^2

is shown in the picture. The graph of

y=0.5x^2

would look similar, but what would be different about it?

a)

It would be skinnier

b)

It would shift down

c)

It would be wider

d)

It would shift to the right

12.

What inequality is shown in the graph?

a)

$y\le-x-2$

b)

$y<-x-2$

c)

$y>-x-2$

d)

$y\ge-x-2$

13.

The graph of g(x) is f(x) translated to the left 6 units and up 3 units. What is the function rule for g(x) given

f\left(x\right)=x^2

?

a)

$g\left(x\right)=x^2+3$

b)

$g\left(x\right)=\left(x+6\right)^2+3$

c)

$g\left(x\right)=\left(x-6\right)^2-3$

d)

$g\left(x\right)=\left(x+3\right)^2+6$

14.

Now that you have completed this review activity, how would you rate your confidence, on a scale from 1 to 5, in understanding the topics for the Unit 3 test?

a)

1 (not confident at all! I need to book an individual LL to review these topics.)

b)

2

c)

3

d)

4

e)

5 (super confident! I know all of these topics, and I feel prepared to take the Unit 3 test!)

Unit 3 Functions, Equations, and Graphs Review

Total questions: 14

Worksheet time: 11mins

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