Question

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.

I'm having trouble explaining it

Answer 1

It is 2 to the x, not 2x -- if x=3 that means it's 2 cubed or 2x2x2 or 8 +1 = 9, not 7

Answer 2

average rate of change between x = 0 and x = 3

= value of f(x) at x = 3 - value at x = 0 2(3) + 1 - (2(0) + 1)
------------------------------------------------ = ------------------------ = (7-1)/3 = 2
3 - 1 3

Answer is 2