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Question

Which of the following types of functions are called monotonic functions


A

Strictly increasing

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B

Monotonically increasing

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C

Strictly decreasing

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D

Monotonically decreasing

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Solution

The correct option is D

Monotonically decreasing


A function is said to be monotonic if it's either non- increasing or non-decreasing. That is monotonically increasing or decreasing. So, options B and D are correct.

We know that strictly increasing functions are monotonically increasing, since they also never decrease as we increase x. Similarly, strictly decreasing functions are monotonically decreasing. So, options A and C are also correct since they are the subset of monotonically increasing and decreasing functions.


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