Consider the function f(x)=|x| + (x-1)^2, -2 x 3

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

Problem

Consider the function

f(x)=|x| + (x-1)^2,\quad -2\le x\le 3.

Find the absolute minimum value of

f(x)

on the given interval and the point(s) where it occurs.