Define the increasing function and decreasing function on an interval.

Define the strictly increasing function and strictly decreasing function on an interval.

The increasing function in (0,pi//4) is

The function x^x is decreases in

Define an Algebraic function.

Statement-1: The fucntion x^(2)(e^(x)+e^(-x)) is increasing for all x gt 0 . Statement-2 : The function x^(2)e^(x) and x^(2)e^(-x) are increasing for all x gt 0 and the sum of two increasing functions in any interval (a,b) is an increasing function in (a,b)

Define an Identity function.

The function f(x)=x^x decrease on the interval

Define an Polynomial function.