the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the…

the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the interval $-6leq xleq - 1$?

the function $y = f(x)$ is graphed below. what is the average rate of change of the function $f(x)$ on the interval $-6leq xleq - 1$?

Answer

Explanation:

Step1: Find the values of ( f(-6) ) and ( f(-1) )

From the graph, when ( x = -6 ), ( y=f(-6)=15 ); when ( x=-1 ), ( y = f(-1)=15 ).

Step2: Use the average - rate - of - change formula

The formula for the average rate of change of a function ( y = f(x) ) on the interval ([a,b]) is (\frac{f(b)-f(a)}{b - a}). Here, (a=-6), (b = -1), (f(a)=f(-6) = 15), (f(b)=f(-1)=15). Then (\frac{f(-1)-f(-6)}{-1-(-6)}=\frac{15 - 15}{-1 + 6}).

Answer:

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