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Find the Average Rate of Change of the Function

Find the Average Rate of Change of the Function

Assessment

Presentation

Mathematics

9th Grade

Medium

CCSS
8.F.B.4, HSF-BF.A.1B, 6.NS.B.3

+2

Standards-aligned

Created by

Alina Sanchez Mederos

Used 5+ times

FREE Resource

2 Slides • 20 Questions

1

2

3

Multiple Choice

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x). 
1
14x-10
2
-8x+2
3
2x+2
4
2x-2

4

Multiple Choice

Question image
Find the average rate of change of Pete's height from 3 years old to 5 years old.
1
2 inches per year
2
8 inches per year
3
2 years
4
4 inches per year

5

Multiple Choice

Question image
Find the average rate of change over the given interval. 
1
-2
2
2
3
-1
4
-0.5

6

Multiple Choice

An object is thrown upward from a height of 60 feet with an initial velocity of 48 feet per second. The height of the object t seconds after it is thrown is given by h (t) = -16t2 + 48t + 60.

What is the average velocity from t = 1 to t = 3?

1

8 feet per second

2

-8 feet per second

3

16 feet per second

4

-16 feet per second

7

Multiple Choice

The distance d (measured in a number of feet) between Brianna and her house is modeled by the formula, d = t2+ 1 where t represents the number of seconds since Brianna started walking.

What is Brianna’s average speed, in feet per second, for the time period where t = 2 to t = 7 ?

1

9

2

5

3

-5

4

-9

8

Fill in the Blanks

9

Fill in the Blanks

10

Multiple Choice

Question image

1

1

2

2

3

3

4

4

11

Multiple Choice

Question image

1

1

2

2

3

3

4

4

12

Multiple Choice

Question image

1

1

2

2

3

3

4

4

13

Multiple Choice

Practice: Which Formula is set up correctly given

f(x)=2x2f\left(x\right)=2x^2  over the interval  2x4-2\le x\le4  

1

m=3284(2)m=\frac{32-8}{4-\left(-2\right)}  

2

m=328(2)4m=\frac{32-8}{\left(-2\right)-4}  

14

Multiple Choice

f(x) = x2+9
g(x) = x-9
Find f(x)-g(x). 
1
x2+x+9
2
x2-x+9
3
x2-x
4
x2-x+18

15

Multiple Choice

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)
1
4x2+24
2
4x2+20x+24
3
4x2+12x+24
4
4x2+4x+24

16

Multiple Choice

f(x) = x2+9
g(x) = x-9
Find f(x)-g(x). 
1
x2+x+9
2
x2-x+9
3
x2-x
4
x2-x+18

17

Multiple Choice

Question image
What is the value of f(0)?
1
-2
2
2
3
4
4
0

18

Multiple Choice

Question image

Use the given function or the graph to find the average rate of change

1

3

2

-3

3

3/2

4

-1/3

19

Multiple Choice

Which of the following graphs has the largest average rate of change from -1 to 2?

1
2
3
4

20

Multiple Choice

Find the average rate of change of f(x)=2x2+3x-1 from 1 to 2.

1

18

2

-9

3

9

4

3

21

Multiple Choice

Question image
What is the average rate of change of [1, 5]?
1
-0.65
2
-0.75
3
3.75
4
4

22

Multiple Choice

Question image
What is Bob's rate of change from 0 seconds to 50 seconds?  BE SURE TO SIMPLIFY!!!
1
100 meters per 50 seconds
2
5 meters per second
3
2 meters per second
4
20 meters per second

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