find the average rate of change for the given function. f(x)=x² + 4x between x = 0 and x = 6 what expression…

find the average rate of change for the given function. f(x)=x² + 4x between x = 0 and x = 6 what expression can be used to find the average rate of change of the function f(x) over 0,6? a. (f(6)+f(0))/(6 + 0) b. lim h→0 (f(0 + h)-f(0))/h c. (f(6)-f(0))/(6 - 0) d. lim x→0 (f(6)-f(0))/(6 - 0)

find the average rate of change for the given function. f(x)=x² + 4x between x = 0 and x = 6 what expression can be used to find the average rate of change of the function f(x) over 0,6? a. (f(6)+f(0))/(6 + 0) b. lim h→0 (f(0 + h)-f(0))/h c. (f(6)-f(0))/(6 - 0) d. lim x→0 (f(6)-f(0))/(6 - 0)

Answer

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is given by $\frac{f(b)-f(a)}{b - a}$. Here, $a = 0$, $b = 6$.

Step2: Identify the correct expression

Substituting $a = 0$ and $b = 6$ into the formula, we get $\frac{f(6)-f(0)}{6 - 0}$.

Answer:

C. $\frac{f(6)-f(0)}{6 - 0}$