use the formula f(b)-f(a)/b - a to calculate the average rate of change over the interval -2,0 given the…
use the formula f(b)-f(a)/b - a to calculate the average rate of change over the interval -2,0 given the function table for f(x)=x² + 6x + 8. express your answer as an integer. x f(x) -3 -1 -2 0 -1 3 0 8 (1 point) the average rate of change is. check answer remaining attempts : 3
Answer
Explanation:
Step1: Identificar valores de a y b
Dado el intervalo $[-2,0]$, entonces $a = - 2$ y $b = 0$.
Step2: Encontrar $f(a)$ y $f(b)$ de la tabla
De la tabla, cuando $a=-2$, $f(a)=f(-2)=0$; cuando $b = 0$, $f(b)=f(0)=8$.
Step3: Aplicar la fórmula
La fórmula para el cambio promedio es $\frac{f(b)-f(a)}{b - a}$. Sustituimos $a=-2$, $b = 0$, $f(a)=0$ y $f(b)=8$: $\frac{f(0)-f(-2)}{0-(-2)}=\frac{8 - 0}{0 + 2}=\frac{8}{2}=4$.
Answer:
4