The function is defined by h(x)= cases 5+2x, & x 0, 5-x, & x>0

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

The function

h

is defined by

h(x)= \begin{cases} 5+2x, & x\le 0,\\ 5-x, & x>0. \end{cases}

Determine whether

x=0

is a point of local maximum or local minimum of

h

, and find

h(0)