A function is defined on as f(x) = cases |x|, 2 - x^2 , & -2 x 2 ||x||, & 2 < |x| 3…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

A function ff is defined on [−3,3][-3, 3] as f(x)={min⁡{∣x∣,2−x2},−2≤x≤2∣∣x∣∣,2<∣x∣≤3f(x) = \begin{cases} \min\{|x|, 2 - x^2\}, & -2 \leq x \leq 2 \\ ||x||, & 2 < |x| \leq 3 \end{cases} where [x][x] denotes the greatest integer ≤x\leq x. The number of points, where ff is not differentiable in (−3,3)(-3, 3) is (a) 5 (b) 4 (c) 1 (d) 2

Related theory

Browse the problem library