PLEASE HELP Let ​ f(x)=x2+6x+11​. What is the average rate of change from x = 5 to x = 8? Enter your answer in the box.

Answer: The average rate of change is 19.Step-by-step explanation: The given function is[tex]f(x)=x^2+6x+11.[/tex]We are to find the average rate of change from x = 5 to x = 8.We know that if for a function f(x), f(a) = b and f(c) = d, then the average rate of change from x = a to x = c is given by[tex]A_r=\dfrac{f(b)-f(a)}{b-a}.[/tex]For the given function, we have[tex]f(5)=5^2+6\times5+11=25+30+11=66,\\\\f(8)=8^2+6\times 8+11=64+48+11=123.[/tex]Therefore, the average rate of change from x = 5 to x = 8 will be[tex]A-r=\dfrac{f(8)-f(5)}{8-5}=\dfrac{123-66}{3}=\dfrac{57}{3}=19.[/tex]Thus, 19 is the required average rate of change.