2.5 - Quadratic Rate of Change - Deer Valley Unified School District

2.5 Average Rate of Change Quadratic Functions

Algebra 3-4

Name ________________________

Period ______

1. Find the average rate of change

Where x = 1 and x = 2

Where x = 2 and x = 5

Which is greater?

2. Find the average rate of change

Where x = 0 and x = 1

3. Find the average rate of change

Where x = 3 and x = 5

4. Find the average rate of change for x2 + 3x + 2

y

Where x = 1 to x = 3

x

5. Find the average rate of change for x2 + 12x + 36

y

Where x = 0 to x = 4

x

6. Find the average rate of change for x2 -11x + 30

y

Where x = 0 to x = 4

x

7. Find the average rate of change for x2 - 9x - 22

y

Where x = 0 to x = 4

x

8. Sally went on a bike trip and stopped regularly at half-hour intervals. At each break she recorded her total

Stops Time (h) Distance (km) distance since leaving home.

a. What was Sally¡¯s average speed, in km/h, during the first

1st

0.5

7

half-hour? During the last half hour?

2nd

1

15

3rd

1.5

21

th

4

2

24

5th

2.5

28

th

6

3

36

b. Between which 2 consecutive stops did Sally average the lowest speed?

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