Question

Find the average rate of change of f(x) = 2x2 + 5 from x = 0 to x = 2

Answer 1

Answer:

The average rate of change is 4

Step-by-step explanation:

To find the values of y when x = 0 and when x = 2, we can graph the equation using a graphing calculator.

Looking at the graph, we can see that when x = 0 y = 5 and when x = 2 y = 13

Now that we have two points (0,5) and (2,13) we can find the rate of change

To find the rate of change we use this equation: $\frac{y2-y1}{x2-x1}$

Let's input the values from our two points

$\frac{13-5}{2-0}$

Simplify: $\frac{8}{2}$ = 4