Question

What is the average rate of change over the interval [-4,-2]Type the numerical value for the answer as a whole number, decimal, or fractionMake sure answers are completely simplified

Answer 1

We need the average rate of change of the piecewise function shown from -4 to -2.

The formula for average rate of change is >>>

`A(x)=(f(b)-f(a))/(b-a)`

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:

`\begin{gathered} A(x)=\frac{1-1}{-2-(-4_{})} \\ A(x)=(0)/(2) \\ A(x)=0 \end{gathered}`

The average rate of change is 0