question the function y = f(x) is graphed below. what is the average rate of change of the function f(x) on…
question the function y = f(x) is graphed below. what is the average rate of change of the function f(x) on the interval -2≤x≤ -1? answer
Answer
Explanation:
Step1: Recall average - rate - of - change formula
The average rate of change of a function $y = f(x)$ on the interval $[a,b]$ is given by $\frac{f(b)-f(a)}{b - a}$. Here, $a=-2$ and $b = - 1$.
Step2: Identify $f(-2)$ and $f(-1)$ from the graph
From the graph, find the $y$ - values corresponding to $x=-2$ and $x=-1$. Let's assume $f(-2)=y_1$ and $f(-1)=y_2$.
Step3: Calculate the average rate of change
The average rate of change $=\frac{f(-1)-f(-2)}{-1-(-2)}=\frac{y_2 - y_1}{-1 + 2}=y_2 - y_1$.
Answer:
The value of $f(-1)-f(-2)$ (you need to read the values of $f(-1)$ and $f(-2)$ from the given graph to get a numerical answer)