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Identify increase, Increase and constant intervals (Refrence function)

Is the sentence true or false?

A function is increasing on an open interval, if f(x1) < f(x2) whenever x1 < x2 for any x1 and x2 in the interval.

Which of the following is constant interval of f(x)=2xf(x)=2x ?

Which of the following is increase interval of f(x)=xf(x)=|x| ?


Which of the following is decrease interval of f(x)=xf(x)=|x| ?


  1. Which of the following is constant interval of f(x)=5f(x)=5 ?


Is the sentence true or false?

A function is constant on an open interval, if f(x1) = f(x2)  for any for any x1 and x2 in the interval

Is the sentence true or false?

Function f(x)=3xf(x)=3x is increasing on the interval [0,5][0,5]

 Which of the following is increase interval of f(x)=x2f\left(x\right)=x^2 ?

Which of the following is decrease interval of f(x)=x2f(x)=x^2 ?


Is the sentence true or false?

Function f(x)=3x2f(x)=-3x^2  is increasing on the interval [0,5][0,5]