CPM Homework Help : APCALC Problem 11-110

Multiple Choice: Based on the graph of $y = f ′\left(x\right)$ shown at right, $f$ must have a relative minimum at:

$x = 0$

$x = 2$

$x = 5$

$x = 6$

$x = 2$ and $6$

Continuous curve labeled, f prime of x, coming from left just below x axis, turning down @, the origin, turning up @, (1.5, comma negative 0.25), passing through (2, comma 0), turning down @, (3, comma 0.5), passing through (4 comma 0), turning up @, (5, comma negative 1), passing through (6, comma 0), continuing up & right.

Hint:

The given graph is a slope graph. A minimum occurs where the slope graph changes from negative to positive.