Limits, Continuity & Differentiability
General
Grade 12
Question:
<p><span class="math-inline">\(f=\max\{1+x+[x],2+x,x+2[x]\}\)</span> on <span class="math-inline">\([0,2]\)</span>. <span class="math-inline">\((m+n)^2+2=\)</span></p>
11
2
<strong>6</strong>
3
Step-by-Step Solution
Key Concept: General
<div class="solution"><p>Disc at x=1 (jump), non-diff at x=1. m=1, n=1, m+n=2. (2)²+2=6. <strong>Answer: (3) 6</strong></p><div class="key-concept"><strong>Key Concept:</strong> max of piecewise functions: track at each integer breakpoint</div></div>
Correct Answer: 3