Answer:
3
Step-by-step explanation:
Given is a parabola open up and many points marked on the curve.
We are asked to find the rte of change for the interval between 2 and 6 on the x axis.
We have from definition rate of change of any function f(x) from a to b is
Rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here a =2 and b =6
The values of f for these points can be got from the graph.
f(6) =14 and f(2) = 2
f(6)-f(2) =14-2 =12
b-a=6-2=4
Hence rate of change = [tex]\frac{12}{4} =3[/tex]
Answer is 3
