The average rate of change from 0 to 2 of the function represented by the graph is [tex]\frac{3}{2}[/tex].
What is average rate of change?
It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
According to the question
[tex]x_{1} =0[/tex], [tex]x_{2} =2[/tex]
f(0) = 1, f(2) = 4
The average rate of change = [tex]\frac{f(x_{2})-f(x_{1}) }{x_{2}-x_{1} }[/tex]
= [tex]\frac{f(2)-f(0) }{2-0 }[/tex]
= [tex]\frac{4-1}{2}[/tex]
= [tex]\frac{3}{2}[/tex]
Hence, the average rate of change from 0 to 2 of the function represented by the graph is [tex]\frac{3}{2}[/tex].
Find out more information about average rate of change here
https://brainly.com/question/13235160
#SPJ2
