These tables represent a quadratic function with a vertex at (0,3). What is the
average rate of change for the interval from x = 7 to x = 8?
х
Interval
0
1
2
у
3
2
-1
-6
-13
--22
--33
Average rate
of change
-1
1-2
-3
1-2
-5
1-2
-7
]-2
-9
13-2
-11
O to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
3
4
5
6
O
A. -15
B. -61
C.-2
D. -46

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pierreclark65 pierreclark65 · Answer 1 · 2021-05-12T18:00:15+02:00

Answer:

These tables represent a quadratic function with a vertex at (0,-1) what is the average rate of change for the interval from x=7 to x=8?

B.-15

Step-by-step explanation:

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MrRoyal MrRoyal · Answer 2 · 2022-04-13T16:46:42+02:00

The average rate of change from 7 to 8 = -15

The average rate of change of a quadratic function is calculated using:

Rate = (f(b) - f(a))/(b - a)

The interval is from x = 7 to 8.

So, we have:

(a,b) = (7,8)

The equation becomes

Rate = (f(8) - f(7))/(8 - 7)

Evaluate the difference

Rate = (f(8) - f(7))/1

This gives

Rate = f(8) - f(7)

From the table, we have:

Rate from 5 to 6 = -11 where the constant is -2

So, we have:

Rate from 6 to 7 = -11 - 2

Rate from 6 to 7 = -13

Also, we have:

Rate from 7 to 8 = -13 -2

Rate from 7 to 8 = -15

Hence, the average rate of change from 7 to 8 = -15

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