Question

let the graph of y=f(x) be given below.Estimate the average rate of change for the graph above from X=1 to X=4

Answer 1

From the graph of function, it can be observed that for x = 1, f(1) is approximately equal to 4.5 and for x = 4, the value function is f(4) = 3.

The formula for the average rate of change of function is,

$A=\frac{f(4)-f(1)}{4-1}$

Substitute the values in the formula to determine the average rate of change of function.

$\begin{gathered} A=\frac{3-4.5}{4-1} \\ =-\frac{1.5}{3} \\ =-0.5 \end{gathered}$

So avearge rate of change of function from x = 1 to