given the graph of f(x), on which interval is the average rate of change positive? (1 point) the average…
given the graph of f(x), on which interval is the average rate of change positive? (1 point) the average rate of change is positive on the interval 0, 4. the average rate of change is positive on the interval 0, 5. the average rate of change is positive on the interval 0, 2. the average rate of change is positive on the interval 2, 3.
Answer
Explanation:
Step1: Record la definición de tasa de cambio promedio
La tasa de cambio promedio de una función $y = f(x)$ en el intervalo $[a,b]$ es $\frac{f(b)-f(a)}{b - a}$. Es positiva cuando $f(b)>f(a)$ para $b > a$.
Step2: Analizar el gráfico
Observando el gráfico de $y = f(x)$, en el intervalo $[2,3]$, cuando $x$ aumenta de $2$ a $3$, el valor de $y = f(x)$ aumenta.
Answer:
The average rate of change is positive on the interval $[2,3]$.