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

Explanation:

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

From the graph, when (x = - 6), (y=f(-6)=20) (assuming the grid - based value). When (x=-1), (y = f(-1)= - 5)

Step2: Use the average rate of change formula

The average rate of change formula is (\frac{f(b)-f(a)}{b - a}), where (a=-6), (b = - 1), (f(a)=f(-6)) and (f(b)=f(-1)) Substitute the values: (\frac{f(-1)-f(-6)}{-1-(-6)}=\frac{-5 - 20}{-1 + 6})

Step3: Calculate the result

(\frac{-5-20}{-1 + 6}=\frac{-25}{5}=-5)

Answer:

(-5)