101719 Average Rate of Change.notebook

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October 17, 2019

10/17/19   Algebra 1Warmup:  The table shows the values for f(x).                                             Create the table for g(x) if g(x) = 3f(x)  5. 

Objectives Average Rate of Change

x f(x)1 50 11 32 7

x g(x)1012

101719 Average Rate of Change.notebook

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October 17, 2019

Q Shift on Functions.docx

101719 Average Rate of Change.notebook

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October 17, 2019

Average Rate of Change = Change in yChange in x

Time (seconds)

Distances (m

eters)

101719 Average Rate of Change.notebook

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October 17, 2019

Time (seconds)

Distances (feet)

[I,A]

[B,A]

[A,C]

Average Rate of Change = Change in yChange in x

page 50

101719 Average Rate of Change.notebook

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October 17, 2019

Average Rate of Change from a table

Point x f(x)

A 0 2

B 1 6

C 2 18

D 3 54

E 4 162

F 5 486

f(x) = 2 3x Interval [A,C] Interval [B,E]

Interval [A,F]Interval [B,F]

Workbook page49

101719 Average Rate of Change.notebook

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October 17, 2019

101719 Average Rate of Change.notebook

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October 17, 2019

Average Rate of Changefrom a graph

A: (2,30)

B: (5,0)

C: (7,10)

D: (8,60)

Interval [A,B]

Interval [B,C]

Interval [C,D]

Interval [B,D]

Workbook page50

Attachments

Average Rate of Change Practice.docx

top9 cut some problems.docx

Q Shift on Functions.docx

1. Consider the graph of the function to the right.

a. Find the average rate of change over the interval [A,C]

b. Find the average rate of change over the interval [C,D]

c. Find the average rate of change over the interval [C,E]

d. Find the average rate of change over the interval [A,E]

2. Consider the graph of the function to the left.

e. Find the average rate of change over the interval [B,C]

f. Find the average rate of change over the interval [B,E]

g. Find the average rate of change over the interval [E,I]

h. Find the average rate of change over the interval [G,I]

3. Consider the table below for the function .

Point

A

0

5

B

1

10

C

2

20

D

3

40

E

4

80

F

5

160

G

6

320

H

7

640

a. Find the average rate of change over the interval [C,E]

b. Find the average rate of change over the interval [B,F]

c. Find the average rate of change over the interval [A,F]

d. Find the average rate of change over the interval [E,H]

e. Find the average rate of change over the interval [F,H]

4. Consider the table below for the function .

Point

A

0

4

B

1

12

C

2

36

D

3

108

E

4

324

F

5

972

G

6

2916

H

7

8748

f. Find the average rate of change over the interval [C,E]

g. Find the average rate of change over the interval [B,F]

h. Find the average rate of change over the interval [A,F]

i. Find the average rate of change over the interval [E,H]

j. Find the average rate of change over the interval [F,H]

SMART Notebook

Name ____________________________________________Date_______________

Introduction to Functions

Average Rate of Change Over an Interval

Independent Practice

1. Suppose that the cost of producing tablets is defined by , where represents the number of tablets produced. The graph below represents the function.

Part A: Complete the boxes to label the graph.

Part B: Find the average rate of change over the interval .

Part C: Find the average rate of change over the interval

Part C: Compare the average rate of change over the interval with his average rate of change over the interval . What does this represent in real life?

2. Consider the table for the exponential function, , shown below.

·

·

·

Point

Part A: Which of the following intervals would you expect to have the greatest rate of change? Explain your reasoning.

Part B: Find the rate of change of the three intervals to determine if your hypothesis in Part A was correct.

3. Suppose that the cost of producing tablets is defined by , where represents the number of tablets produced. The table below represents the function.

Part A: Which interval represents the greatest rate of change?

Part B: What does this tell you about the situation?

AlgebraNation.com

AlgebraNation.com

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SMART Notebook

Name: ________________________

Algebra 1: Shifts on Functions Quiz

1. Describe and graph the following shifts on the function . Make sure to label the graphs accordingly.

a.

b.

2. The table of is shown below. Create the table for if .

SMART Notebook

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