Limits, Continuity & Differentiability
General
Grade 12
Question:
<p><span class="math-inline">\(f(x)=\begin{cases}\max\{|x|,x^2\} & |x|\le 2\\ 8-2|x| & 2<|x|\le 4\end{cases}\)</span>. S = non-diff in (-4,4).</p>
empty
{-2,-1,1,2}
<strong>{-2,-1,0,1,2}</strong>
{-2,2}
Step-by-Step Solution
Key Concept: General
<div class="solution"><p>f=|x| for |x|<1, f=x² for 1≤|x|≤2. Non-diff at x=0,±1,±2. S={-2,-1,0,1,2}. <strong>Answer: (3)</strong></p><div class="key-concept"><strong>Key Concept:</strong> max{|x|,x²}: switches at |x|=1</div></div>
Correct Answer: 3