<p><span class="math-inline">\(h(x)=\min\{\{x\},1-\{x\}\}\)</span>. h is:</p>
Step-by-Step Solution
Key Concept: General
<div class="solution"><p>h is continuous on [-2,2] (min of continuous functions). Non-diff at all half-integers: -3/2,-1,-1/2,0,1/2,1,3/2 → more than 4 in (-2,2). <strong>Answer: (1) cont in [-2,2], not diff >4 pts in (-2,2)</strong></p><div class="key-concept"><strong>Key Concept:</strong> min{t,1-t} has corners at t=1/2 i.e., at half-integers</div></div>
Correct Answer: 1