Limits, Continuity & Differentiability
General
Grade 12
Question:
<p><span class="math-inline">\(f\)</span> triangle function, <span class="math-inline">\(g=f(x+2)-f(x-2)\)</span>. <span class="math-inline">\(n+m\)</span>?</p>
Step-by-Step Solution
Key Concept: General
<div class="solution"><p>g is continuous everywhere (n=0). Corners at x=-2,0,2,4 (4 non-diff points). n+m=0+4=4. <strong>Answer: 4</strong></p><div class="key-concept"><strong>Key Concept:</strong> Difference of shifted piecewise linear functions: corners at shifted breakpoints</div></div>
Correct Answer: 4