The function is defined by f(x)= cases x^ 3 ,& x 1 3-x,& x>1 cases

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

The function

f

is defined by

f(x)=\begin{cases}x^{3},& x\le 1\\ 3-x,& x>1\end{cases}.

Determine the interval(s) on which

f

increases and the interval(s) on which it decreases.