# modulus and linear function

• November 5th 2009, 06:04 AM
Oasis1993
modulus and linear function
A graph has equation y= x + abs(2x-1). Express y as a linear function of x (that is, in the form of y=mx+c for constants m and c) in each of the following intervals of x

a) x > 1/2 b) x < 1/2

thanks!
• November 5th 2009, 06:10 AM
Raoh
hi(Happy)
$x> \frac{1}{2}\Leftrightarrow y=x+2x-1\Leftrightarrow y=3x-1$
$x< \frac{1}{2}\Leftrightarrow y=x-(2x-1)\Leftrightarrow y=-x+1$.