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!

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- Nov 5th 2009, 06:04 AMOasis1993modulus 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! - Nov 5th 2009, 06:10 AMRaoh
hi(Happy)

$\displaystyle x> \frac{1}{2}\Leftrightarrow y=x+2x-1\Leftrightarrow y=3x-1$

$\displaystyle x< \frac{1}{2}\Leftrightarrow y=x-(2x-1)\Leftrightarrow y=-x+1$.