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
To calculate the average rate of change for the interval from x=3 to x=5, we need to find the change in y-values and divide it by the change in x-values.
When x=3, y=-10
When x=5, y=-17
Change in y-values = -17 - (-10) = -7
Change in x-values = 5 - 3 = 2
Average rate of change = Change in y-values / Change in x-values
Average rate of change = -7 / 2 = -3.5
The correct answer is not provided in the options listed.