Consider the function p(x)= x^2 + 6x + 5
what is the average rate of change from x = 2 to x = 3

11.

Step-by-step explanation:

We have been given a function and we are asked to find the the average rate of change from x = 2 to x = 3.

We will use average rate of change formula to solve our given problem.

Upon substituting our given values in above formula we will get,

Let us find p(3) by substituting x=3 is our given formula.

Let us find p(2) by substituting x=2 is our given formula.

Let us substitute values of our function at x = 2 and x = 3 in average rate of change formula.

Therefore, the average rate of change for our given function from x=2 to x=3 is 11.