74.8k views
3 votes
The function y=f(x) is graphed below. Plot a line segment connecting the points on f where x=-2 and x=8. Use the line segment to determine the average rate of change of the function f(x) on the interval −2≤x≤8

The function y=f(x) is graphed below. Plot a line segment connecting the points on-example-1
The function y=f(x) is graphed below. Plot a line segment connecting the points on-example-1
The function y=f(x) is graphed below. Plot a line segment connecting the points on-example-2

1 Answer

2 votes

Given:

The graph of the f(x) is given.

Required:

To plot a line segment connecting the points on f where x=-2 and x=8 and to determine the average rate of change of the function f(x) on the interval −2≤x≤8.

Step-by-step explanation:

The line segment connecting the points on f where x=-2 and x=8 is,

The average rate of change = slope


=(f(8)-f(-2))/(8-(-2))

From the graph,


\begin{gathered} f(8)=10 \\ f(-2)=5 \end{gathered}

Therefore,


\begin{gathered} =(10-5)/(8-(-2)) \\ \\ =(5)/(10) \\ \\ =(1)/(2) \end{gathered}

Final Answer:

Average rate of change is 1/2.

The function y=f(x) is graphed below. Plot a line segment connecting the points on-example-1
User Mehdi Maghrouni
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories