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Functions Review

Functions Review

Assessment

Presentation

•

Mathematics

•

8th Grade

•

Practice Problem

•

Medium

•
CCSS
HSF-LE.A.1B, 8.F.A.1, HSF.LE.B.5

+4

Standards-aligned

Created by

Ashley Fox

Used 25+ times

FREE Resource

19 Slides • 20 Questions

1

Functions Test Review

Slide image

2

What will be on the test?

  • Vocabulary - match the words to their definition

  • Determine whether a table, graph, or set of points is a function.

  • Identify the constant rate of change and initial value in a table, graph, equation, or written description

  • Compare the constant rate of change or initial value in two functions.

3

PART 1: Vocabulary

  • function

  • not a function

  • constant rate of change

  • initial value

4

Multiple Choice

Match the phrase to its definition: every input (x) has only ONE output (y)

1

constant rate of change

2

function

3

not a function

4

initial value

5

Multiple Choice

Match the phrase to its definition: the SLOPE in a linear relationship; it is the same no matter which points you use to find it

1

constant rate of change

2

function

3

not a function

4

initial value

6

Multiple Choice

Match the phrase to its definition: the STARTING AMOUNT or Y-INTERCEPT of the graph

1

constant rate of change

2

function

3

not a function

4

initial value

7

Multiple Choice

Match the phrase to its definition: some inputs (x) have MORE THAN ONE output (y)

1

constant rate of change

2

function

3

not a function

4

initial value

8

PART 2: Determine whether a table, graph, or set of points is a function.

  • It is a function because every input has only one output.

  • It is not a function because the input __ has two outputs __ and __.

9

Multiple Choice

Question image

Does the table represent a function?

1

Function

2

Not a function

10

ANSWER:

The table is a function. Every input has only one output.

Slide image

11

Multiple Choice

Question image

Does the table represent a function?

1

Function

2

Not a function

12

ANSWER:

The table is not a function. The input 3 has two outputs -5 and -1.

OR

The table is not a function. The input 2 has two outputs -4 and -2.

Slide image

13

Multiple Choice

Question image

Does the set of ordered pairs represent a function?

1

Function

2

Not a function

14

ANSWER:

This set of ordered pairs is not a function. The input 3 has two outputs 8 and 6.

Slide image

15

Multiple Select

Which graphs represent a function? Select all that apply.

1
2
3

16

ANSWER:

Graphs 1 & 2 are functions because every input has only one output.

17

PART 3: Identify the constant rate of change and initial value in a table, graph, equation, or written description

  • Constant rate of change: slope, m, rise/run, change in y/change in x, "each, every, per"

  • Initial value: y-intercept, b, starting amount, when x=0, "start, begin, one-time fee"

18

Multiple Choice

You rent a car for $200 plus $0.50 per mile driven. What is the initial value?

1

0.50

2

200

3

-0.50

4

-200

19

Multiple Choice

You rent a car for $200 plus $0.50 per mile driven. What is the constant rate of change?

1

0.50

2

200

3

-0.50

4

-200

20

ANSWER:

You rent a car for $200 plus $0.50 per mile driven.


Constant rate of change = 0.50

Initial value = 200 <-- this is a one-time fee!

21

Multiple Choice

You are doing a push-up competition for the month of December. You are able to do 3 push-ups at the start of the competition. You increase the number of pushups by 1 every day. What is the initial value?

1

3

2

1

3

-3

4

-1

22

Multiple Choice

You are doing a push-up competition for the month of December. You are able to do 3 push-ups at the start of the competition. You increase the number of pushups by 1 every day. What is the constant rate of change?

1

3

2

1

3

-3

4

-1

23

ANSWER:

You are doing a push-up competition for the month of December. You are able to do 3 push-ups at the start of the competition. You increase the number of pushups by 1 every day. 


Constant rate of change = 1

Initial value = 3

24

Multiple Choice

In the equation y=-2x+5, what is the initial value?

1

-2

2

5

25

Multiple Choice

In the equation y=-2x+5, what is the constant rate of change?

1

-2

2

5

26

ANSWER:

In the equation y=mx+b, the constant rate of change is m and the initial value is b.


y=-2x+5

Constant rate of change = -2

Initial value = 5

27

Fill in the Blanks

media image

Type answer...

28

Fill in the Blanks

media image

Type answer...

29

ANSWER:

  • The initial value is 2. Look for when x=0.

  • The constant rate of change is 2. Choose two points (rows) in the table. Change in y / change in x = 4/2 = 2.

Slide image

30

Fill in the Blanks

media image

Type answer...

31

ANSWER:

The initial value is the y-intercept or where the line cross the y-axis.


The initial value is -2.

Slide image

32

Fill in the Blanks

media image

Type answer...

33

ANSWER:

The constant rate of change is the slope of the graph. Choose 2 points, count the rise/run, and simplify.


The constant rate of change is 4/6 = 2/3.

Slide image

34

PART 4: Compare the constant rate of change or initial value in two functions.

Say which function is greater and explain by stating the number for each function.


Example Answer:

Function A has a greater initial value.

The initial value of Function A is 4 and Function B is -2.

35

Multiple Choice

Question image

Which function has a greater initial value?

1

Function A

2

Function B

36

ANSWER:

Function B has a greater initial value. The initial value of Function B is 8 and Function A is 5.

Slide image

37

Multiple Choice

Question image

Which function has a greater constant rate of change? Explain.

1

Function A

2

Function B

38

ANSWER:

Function A has a greater constant rate of change. The constant rate of change for Function A is 3 and Function B is 2.

39

Studying Tips

  • Look over the examples in the digital binder

  • Practice the vocabulary on Quizlet or Blooket

  • Retry some of the IXLs

  • Retry the questions in this Quizizz

Functions Test Review

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