Question

Please answer this if you know 100% how to do it

The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 3.

Answer 1

Each line is one unit.

When X = 0, the blue line is at Y = 2

When x = 3, the blue line is at Y = 9

The average rate of change would be the change in y over the change in x.

The change in y = 9 - 2 = 7

The change in x = 3-0 = 3

The average rate of change would be 7/3

Answer 2

The rate of change is 7/3

Explanation:

To find the average rate of change, we subtract the value of the function at the 2 points, over the difference of the 2 points.

f(3) -f(0)

-----------

3-0

f(3) = 2^(3)+1 = 8+1 =9

f(0) = 1 +1 = 1

9 -2

-----------

3-0

7/3

The rate of change is 7/3