How to find average rate of change from a graph

Asked by admin @ 22/11/2021 in Mathematics viewed by 273 People

Find the average rate of change of the function f(x), represented by the graph, over the interval [-4, -1]. Calculate the average rate of change of f(x) over the interval [-4, -1] using the formula . The value of f(-1) is . The value of f(-4) is . The average rate of change of f(x) over the interval [-4, -1] is .

Answered by admin @ 22/11/2021

Answer:

Step-by-step explanation:

We are given that a graph which represents f(x).

Interval:[-4,-1]

We have to find the average rate of change of the function f(x).

From the graph we can see that

f(-4)=-3

f(-1)=3

We know that the average rate of change of the function

Average rate = $\frac{f(b)-f(a)}{b-a}$

Using the formula

Average rate of change of f= $\frac{3-(-3)}{-1-(-4)}$

Average rate of change of f= $\frac{6}{3}=2$

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