Question

Using the graph below, calculate the average rate of change for f(x) from x = 2 to x = 6.

exponential function going through points 2, 2 and 6, 6

−4
−1
1
4

Answer 1

The average ate of change for f(x) from x=2 to x=6 is one, (1). Also seen as choice c.

Explanation:

Answer 2

The graph passes through the points (2,2) and (6,6)
This means
f(2) = 2
f(6) = 6

The average rate of change of f(x) x = 2 to x = 6 will be:


`(f(6)-f(2))/(6-2) = (6-2)/(4)= (4)/(4)=1`

Thus the average rate of change of given function from x = 2 to x = 6 is 1