Question

What is the rate of change for the function 2x + 1 given the interval [2,6]. *

Answer 1

Answer:

Rate of change=2

Step-by-step explanation:

a). Consider the equation below

Rate of change=(Final value-Initial value)/change in interval,where;

Final value is when x=6 in the function 2x+1,

Replacing for x=6 in the function 2x+1=(2×6)+1=13

Initial value is when x=2 in the function 2x+1

Replacing for x=2 in the function (2×2)+1=5

The interval changed from 2 to 6=(6-2)=4

Replacing the values in equation 1

Rate of change=(13-5)/4=8/4=2