What is the average rate of change from 0 to 2 of the function represented by the graph?
Accepted Solution
A:
Answer:-0.5Step-by-step explanation:Average rate of a function f(x) in the interval a to b is given byAverage rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]Here we are given a graph. From the graph we find out f value at end pointsa=0: f(0) = 2: b=2:f(2) = 1Substitute in the average rate of change formula to getf(2)-f(0) =1-2 =-1b-a = 2Hence average rate of change = -1/2=-0.5(Negative value indicates the change is decrease. i.e. when x increases f decreases)