Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>Match functions with properties: onto/not-one-one, neither cont nor one-one, diff but not one-one, cont and one-one.</p>
P\to 3,Q\to 1,R\to 4,S\to 2
P\to 1,Q\to 3,R\to 4,S\to 2
P\to 3,Q\to 1,R\to 2,S\to 4
P\to 1,Q\to 3,R\to 2,S\to 4
Step-by-Step Solution
Key Concept: General
<div class="solution"><p>f₄=f₂∘f₁: onto but not one-one (P→1). f₃: neither continuous nor one-one (Q→2). f₂∘f₁: differentiable but not one-one (R→3)... Answer key: (D) P→1,Q→3,R→2,S→4. <strong>Answer: (D)</strong></p><div class="key-concept"><strong>Key Concept:</strong> Carefully trace compositions for each property</div></div>
Correct Answer: 4