Question

What is the average rate of change of the function f(x) =2^x from x=0 to x=2?

Answer 1

Answer:

B

Step-by-step explanation:

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

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ 0, 2 ]

f(b) = f(2) = 2² = 4

f(a) = f(0) = $2^{0}$ = 1, thus

average rate of change = $\frac{4-1}{2-0}$ = $\frac{3}{2}$ → B