Question

A)-15
B)-16
C)-30
D)-32

Answer 1

A) -15

Explanation:

The average rate of change of f(x) on interval [a, b] is given by ...

(f(b) -f(a))/(b -a)

Here, you have ...

f(x) = -2^x +70

[a, b] = [2, 6]

so the average rate of change is ...

(f(6) -f(2))/(6 -2) = ((-2^6 +70) -(-2^2 +70))/4 = (-64 +4)/4 = -16+1

average rate of change = -15