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=(f(4)-f(1))/(4-1)`

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

`\begin{gathered} A=(3-4.5)/(4-1) \\ =-(1.5)/(3) \\ =-0.5 \end{gathered}`

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