Question

Which of the following types of functions are called monotonic functions

• A. Strictly increasing
• B. Monotonically increasing
• C. Strictly decreasing
• D. Monotonically decreasing

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A

Strictly increasing

B

Monotonically increasing

C

Strictly decreasing

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.