question 1\nuse the graph of ( f(x) ) to evaluate the following:\nthe average rate of change of ( f ) from (…

question 1\nuse the graph of ( f(x) ) to evaluate the following:\nthe average rate of change of ( f ) from ( x = 0 ) to ( x = 5 ) is\ngive your answer as an integer or reduced fraction.\nquestion help: video written example message instructor\nsubmit question

question 1\nuse the graph of ( f(x) ) to evaluate the following:\nthe average rate of change of ( f ) from ( x = 0 ) to ( x = 5 ) is\ngive your answer as an integer or reduced fraction.\nquestion help: video written example message instructor\nsubmit question

Answer

Explanation:

Step1: Identify the formula for average rate of change

The formula for the average rate of change of a function (y = f(x)) from (x=a) to (x = b) is (\frac{f(b)-f(a)}{b - a}). Here, (a = 0) and (b=5).

Step2: Find (f(0)) and (f(5)) from the graph

From the graph, when (x = 0), (f(0)=1). When (x = 5), (f(5)=3).

Step3: Substitute values into the formula

Substitute (a = 0), (b = 5), (f(0)=1), and (f(5)=3) into (\frac{f(b)-f(a)}{b - a}). We get (\frac{f(5)-f(0)}{5-0}=\frac{3 - 1}{5}).

Step4: Simplify the fraction

(\frac{3 - 1}{5}=\frac{2}{5}).

Answer:

(\frac{2}{5})