GATE EC 2025 Set 1 — Question 5
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Engineering Mathematics → Calculus → Functions of Single Variable
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Question
Which one of the following plots represents , where is a non-zero real number?
Note: The figures shown are representative.
Note: The figures shown are representative.
Correct answer
(A) [figure]
Solution
For , :
- If : , so .
- If : , so .
- (A) shows on the left half and on the right half. Correct.
- (B) shows for and for , which is , the negative of the given function.
- (C) shows vertical segments at ; that is not a function of taking constant values.
- (D) shows curved branches, but is piecewise constant.
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