Question

This table shows values that represent a quadratic function.

х
y
0
-1
1
SON
| N|مي | |
-10
4
-17
-26
6
-37
What is the average rate of change for this quadratic function for the interval
from x= 4 to x= 6?
A. 10
B. -10
C. 20
D. -20

Answer 1

`Rate = -10`

Explanation:

Given

The table

Required

The average rate if change over (4,6)

This is calculated as:

`Rate = (f(6) - f(4))/(6-4)`

`Rate = (f(6) - f(4))/(2)`

From the table:

`f(6) = -37`

`f(4) = -17`

So:

`Rate = (-37 --17)/(2)`

`Rate = (-37 +17)/(2)`

`Rate = (-20)/(2)`

`Rate = -10`