Let [t] denote the greatest integer less than or equal to t.

Question

Let [t] denote the greatest integer less than or equal to t. Let
f(x) = x - [x], g(x) = 1 - x + [x], and h(x) = min{f(x), g(x)}, x $$\in$$ [-2, 2]. Then h is :

Accepted Answer

min{x - [x], 1 - x + [x]}

h(x) = min{x - [x], 1 - [x - [x])}

$$\Rightarrow$$ always continuous in [-2, 2] but not differentiable at 7 points.

Solutions · 1