F(x)=x^2-x-1 , average rate of change of f over interval -1 greater than or equal to x less than or equal to 1

To start, calculate your endpoints of your interval. Do this by plugging in your limits on x, -1 and 1, into your function. This gives you f(-1)=(-1)^2-(-1)-1=1+1-1=1 and f(1)=1^2-1-1=-1. Now, use your two endpoints, (-1,1) and (1,-1), and use the formula for slope, . This gives you . This means your average rate of change is -1.