utilizar el gráfico de la función para hallar la tasa de cambio promedio de x = 4 a x = 8. simplificar su…
utilizar el gráfico de la función para hallar la tasa de cambio promedio de x = 4 a x = 8. simplificar su respuesta tanto como sea posible.
Answer
Explanation:
Step1: Recall average - rate - of - change formula
The average rate of change of a function $y = f(x)$ from $x = a$ to $x = b$ is given by $\frac{f(b)-f(a)}{b - a}$. Here, $a = 4$, $b = 8$.
Step2: Read function values from the graph
From the graph, when $x = 4$, $y=f(4)=0$; when $x = 8$, $y = f(8)= - 4$.
Step3: Calculate the average rate of change
Substitute $f(4)=0$, $f(8)=-4$, $a = 4$, and $b = 8$ into the formula: $\frac{f(8)-f(4)}{8 - 4}=\frac{-4-0}{8 - 4}$.
Step4: Simplify the expression
$\frac{-4}{4}=-1$.
Answer:
$-1$