Question

Given the function h(x)=-x^2+10x+32h(x)=−x
2
+10x+32, determine the average rate of change of the function over the interval 3\le x \le 113≤x≤11

Answer 1

screenshot pls

Answer 2

average rate of change for f(x), from x = a to x = b

\[=\frac{ f(b)-f(a) }{ b-a }\]
in your case, your f(x) is your h(x) function, and your a and b boundary values are 3 and 11

therefore your formula is
\[=\frac{ h(11)-h(3) }{11-3 }\]
calculate/plug in the appropriate values and evaluate