We need the average rate of change of the piecewise function shown from -4 to -2.
The formula for average rate of change is >>>
[tex]A(x)=\frac{f(b)-f(a)}{b-a}[/tex]
Where
a is the lower limit and b is the upper limit
Given,
a = -4
b = -2
We see from the graph, that,
f(b) = f(-2) = 1
f(a) = f(-4) = 1
Substituting into the formula, we have:
[tex]\begin{gathered} A(x)=\frac{1-1}{-2-(-4_{})} \\ A(x)=\frac{0}{2} \\ A(x)=0 \end{gathered}[/tex]
The average rate of change is 0
