GATE EC 2023 Set 1 — Question 7
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Engineering Mathematics → Calculus → Functions of Single Variable
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Question
Which one of the following options represents the given graph?
Correct answer
(A) f(x) = x² 2^(- x)
Solution
The given graph is symmetric about the y-axis, which implies that the function must be an even function, i.e., .
1.For option (A): . Since and , . This is an even function.
2.For option (B): . . This is an odd function.
3.For option (C): . . This is neither even nor odd.
4.For option (D): . . This is neither even nor odd.
Since only option (A) represents an even function that matches the symmetric nature of the graph, (A) is the correct choice.Continue learning with Success Tracker
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