Question

How do you find the average rate of change for the function `f(x) = x^2+x+3` on the indicated intervals [1,x]?

Answer 1

x+2

Explanation:

Rate of change would be `(f(x)-f(1))/ (x-1)`

= `((x^2+x+3) -5)/(x-1)`

=`(x^2 +x -2)/(x-1)`

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