Question

What is the average rate of change over the interval [-1,1]Type the numerical value for your answer as a whole number, decimal or fractionMake sure answers are completely simplified

Answer 1

The Average rate change in [-1,1] is 1

The average rate of change in the interval [a,b] is defined by:

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

We know by the graph that [a,b]=[-1,1] and f(-1)=-3 , f(1)=-1

Using the definition above:

`A(x)=(-1-(-3))/(1-(-1))=(3-1)/(1+1)=(2)/(2)=1`