This table shows values that represent a quadratic function

X

0

-1

1

-2

2

-5

3

-10

4

-17

-26

6

-37

What is the average rate of change for this quadratic function for the interval from x3 to x=5?

A.-16

B. -8

C. 16

D. 8

1 answer

To find the average rate of change for the interval from x=3 to x=5, we need to calculate the change in the function values and divide by the change in x values.

For x=3 and x=5:
y(3) = -10
y(5) = -17

Change in y values: -17 - (-10) = -7
Change in x values: 5 - 3 = 2

Average rate of change = (-7) / 2 = -3.5

Therefore, the average rate of change for this quadratic function for the interval from x=3 to x=5 is -3.5.

Answer: Not listed.
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