Question

"What is the average rate of change for f (x) = -3ˣ+¹ over the interval -2 -1?

A)-1/9
B)-2/9
C)1/9
D)2/9"

Answer 1

The average rate of change for the function f(x) = -3ˣ+¹ over the interval -2 to -1 is 6.

Step-by-step explanation:

The average rate of change for the function f(x) = -3ˣ+¹ over the interval -2 to -1 can be found by calculating the difference in the values of the function at the two points and dividing by the difference in the x-values.

So, f(-1) = -3¹ + ¹ = -2 and f(-2) = -3² + ¹ = -8. Therefore, the average rate of change is (-8 - (-2)) / (-2 - (-1)) = -6 / -1 = 6.

Therefore, the average rate of change for the function f(x) = -3ˣ+¹ over the interval -2 to -1 is 6.