# Max value

• Feb 23rd 2013, 04:27 AM
RuyHayabusa
Max value
if y = (x)/(x^2 + mod(x-1)) then what is the max value of y?
• Feb 23rd 2013, 04:47 AM
Plato
Re: Max value
Quote:

Originally Posted by RuyHayabusa
if y = (x)/(x^2 + mod(x-1)) then what is the max value of y?

By "mod(x-1)" do you mean $y=\frac{x}{x^2+|x-1|}~?$
• Feb 23rd 2013, 05:08 AM
RuyHayabusa
Re: Max value
Quote:

Originally Posted by Plato
By "mod(x-1)" do you mean $y=\frac{x}{x^2+|x-1|}~?$

Yeah
• Feb 23rd 2013, 05:14 AM
Plato
Re: Max value
Quote:

Originally Posted by Plato
$y=\frac{x}{x^2+|x-1|}~?$

Draw a graph.
You will see that if $x\le 0$ then $y\le 0~.$

Is it true that if $x>0$ then $x^2+|x-1|\ge x~?$