Find the local extrema of the function defined for all real

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

Problem

Find the local extrema of the function

f(x)=|x-2| + (x-2)^2

defined for all real

x

. State the value(s) of

x

at which the extremum occurs and specify whether it is a local maximum or a local minimum.