Question

All the strictly increasing function are monotonically increasing functions.

• A. True
• B. False

Answer 1

The correct option is A

True

We know that Strictly increasing functions are the functions which increases on increasing the values of x. Whereas in a monotonically increasing function, the function does not decrease its value as we increase x. This implies the function can remaining constant when we increase x. If a function remains constant, it can’t be a strictly increasing function, but it can be a monotonically increasing or increasing function.

So, all strictly increasing functions are monotonically increasing, because they never decrease.