Answer to Question #97143 in Calculus for Anand

Question

The graph of the function y = x+|x| for all x belongs to Q is strictly increasing or not ?

Answer 1

$y=x+|x|$

For all $x<=0$

$y=0$

So it is a constant function for $x<=0$

For all $x>0$

$y=2x$

Hence it is a strictly increasing function for $x>0$