# How do you graph g(x) = | 2x - 7 | ?

Draw the half-line $y = g \left(x\right) = 2 x - 7 , a b o v e \left(\frac{7}{2} , 0\right)$ and construct its mirror image with respect to $x = \frac{7}{2}$, to form the V-shape graph of $y = 2 x - 7$-
$g \left(x\right) \ge 0$, for all x.
$g \left(\frac{7}{2}\right) = 0$..
For $x < \frac{7}{2} , g \left(x\right) = 7 - 2 x$