Question

YOU WON'T ANSWER THIS!!!!
Using the exponential function 2x + 3, what is the average rate of change between the values 1 ≤ x ≤ 5?


explain answer step by step

Answer 1

Answer:

7.5

Step-by-step explanation:

The given exponential function is

$f(x) = {2}^{x} + 3$

The average rate of change over a≤x≤b is given by;

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

This implies that the average rate of change between the values 1 ≤ x ≤ 5 is

$\frac{f(5) - f(1)}{5 - 1}$

We evaluate to get:

$\frac{ {2}^{5} + 3 - {2}^{1} - 3}{4} = \frac{30}{4} = \frac{15}{2} = 7.5$