Find the rate of change.

Question

Find the average rate of change of the function g(x) = √3x from x=3 to x=3 + ℎ and simplify your answer so that no single factor of ℎ is left in the denominator.

Answer 1

Average Rate of Change =f(x+h)−f(x)/h

G(x) = √3x

Average Rate of change = √3[(x+h) - (x)]/h

= √3[x + h - x]/h

= √3h/h

=√3 which is a constant