For the graphed function f(x) = (2)^x + 2 + 1, calculate the average rate of change from x = 0 to x = 2.

A) −6
B) −2
C) 6
D) 4

Question

For the graphed function f(x) = (2)^x + 2 + 1, calculate the average rate of change from x = 0 to x = 2.

A) −6
B) −2
C) 6
D) 4

anonymous · Answer

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parthkohli · Answer

The average rate of change is like the average speed of a function... the distance divided by time taken.

parthkohli · Answer

But here, the distance is the change in $y$ and the time is the change in $x$.

anonymous · Answer

@ParthKohli I'm still lost, can you narrow it down for me?

parthkohli · Answer

sorry for the ambiguity.  just calculate the slope of the line joining the points (-2,2) and (0,5)

anonymous · Answer

Is the answer 4? @ParthKohli

parthkohli · Answer

hmm... how did you get that?

anonymous · Answer

I don't know how to calculate the slope of the line, so I was just looking at it and trying to guess. :( @ParthKohli

parthkohli · Answer

here is the formula for the average rate of change:$$\dfrac{f(b) - f(a)}{b - a}$$where $x$ varies from $a$ to $b$