All the monotonically increasing functions are strictly increasing functions.
All the monotonically increasing functions are strictly increasing functions.
The correct option is B False
Some Monotonically increasing functions have values of x in its domain for which the value of the function is same. For example greatest integer function. We know that from [0,1) the value of the function is same which is zero. These functions can’t be strictly increasing functions as according to the strictly increasing function defintion, value of the function should increase on increasing the value of x.
There is a basic difference between monotonically increasing functions and strictly increasing functions, Monotonically increasing functions are nondecreasing functions so these functions will either increase or remain constant on increasing the value of x. Whereas the strictly increasing functions will always increase on increasing the value of x.
False
Some Monotonically increasing functions have values of x in its domain for which the value of the function is same. For example greatest integer function. We know that from [0,1) the value of the function is same which is zero. These functions can’t be strictly increasing functions as according to the strictly increasing function defintion, value of the function should increase on increasing the value of x.
There is a basic difference between monotonically increasing functions and strictly increasing functions, Monotonically increasing functions are nondecreasing functions so these functions will either increase or remain constant on increasing the value of x. Whereas the strictly increasing functions will always increase on increasing the value of x.
