Estimate the average rate of change between x = 0 and x = 2 for the function shown.The graph starts at the bottom left to cross the y axis at one, continues curving to the top right to cross the x axis near one point five, and continues to the top right. A.6B.7C. 12D. 24

Answer:Option A.Step-by-step explanation:Consider the below graph.We need to find the average rate of change between x = 0 and x = 2 for the function shown.From the given graph it is clear that the value of function at x=0 is -7 and the value of function is 5 at x=2. It meansf(0) = -7f(2) = 5The average rate of change of a function f(x) on [a,b] is[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]The average rate of change between x = 0 and x = 2[tex]m=\dfrac{f(2)-f(0)}{2-0}[/tex][tex]m=\dfrac{5-(-7)}{2-0}[/tex][tex]m=\dfrac{12}{2}[/tex][tex]m=6[/tex]The average rate of change between x = 0 and x = 2 for the function shown is 6.Therefore, the correct option is A.