GATE ME 2016 Set 2 — Question 10
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Engineering Mathematics → Single Variable Calculus → Functions of Single Variable
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Question
Which of the following curves represents the function for ?
Here, represents the abscissa and represents the ordinate.
Here, represents the abscissa and represents the ordinate.
Correct answer
(C) [figure]
Solution
Simplify the function step by step.
- Since , , so .
- , so .
- (A) is : it goes down to . Wrong.
- (B) is : it also takes negative values. Wrong.
- (C) is non-negative with zeros at and peaks of in between, i.e. . Correct.
- (D) is non-negative but equals at and is zero at , i.e. . Wrong.
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