Question

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

A. −2
B. 2
C. 3
D. −3

Answer 1

To solve, you will need to find the y intercept which in this case is on the graph. The find the slope's between the two points and calculate the average slope by adding the two then dividing. Hope that helps!

Answer 2

B. 2.

Explanation:

You can find the average by substituting the given values in the function, then do an arithmetic average with results.

So, for X = - 1 you get f(-1) = 1

For X = 0 you get f(0) = 3

So, the average with 1 and 3 is 2. Because you sum numbers which results 4, and then divided by 2 (the amount of numbers involved in the average).