Define for and let

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

Problem

Define

f(x)=|x-2|

for

-3\le x\le 5

and let

F(x)=\int_{-3}^{x} f(t)\,dt

. Determine whether

x=2

is an inflection point of

F

, and justify your answer briefly.