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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy
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Application +4 | -1
The range of ' a\mathrm{a} ' for which f(x)=ax+cos⁡xf(x)=a x+\cos x is one-one is:
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Correct option: B
(−∞,−1]∪[1,∞)(-\infty,-1] \cup[1, \infty)
Option B ((−∞,−1]∪[1,∞)(-\infty,-1] \cup[1, \infty)) is correct because the function is one-to-one when its derivative is either always non-negative or always non-positive.

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