GATE EE 2023 Set 1 — Question 7
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Engineering Mathematics → Calculus
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Question
Which one of the following options represents the given graph?

Correct answer
(B) f(x) = x 2^(- x)
Solution
1.Symmetry Analysis: The graph is symmetric about the origin, which means it represents an odd function, .
- Option (A): . This is an even function. Incorrect.
- Option (B): . This is an odd function. Possible.
- Option (C): . Not odd. Incorrect.
- Option (D): . Not odd. Incorrect.
- For Option (B): and . This matches the graph.
- For Option (D): . This does not match the graph.
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