What is the average rate of change for ƒ(x) = −2^x + 70 over the interval 2 ≤ x ≤ 6? A) −15 B) −16 C) −30 D) −32

A

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [a, b ] is

Here [ a, b ] = [ 2, 6 ], thus

f(b) = f(6) = - + 70 = - 64 + 70 = 6

f(a) = f(2) = - 2² + 70 = - 4 + 70 = 66

average rate of change = = = - 15 → A

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.