Question

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

Answer 1

Draw the half-line `y = g(x) = 2x-7, above ( 7/2, 0 )` and construct its mirror image with respect to `x = 7/2`, to form the V-shape graph of `y = 2x-7`-

Explanation:

`g(x) >= 0`, for all x.
`g(7/2) = 0`..
For `x < 7/2, g(x) = 7 - 2x`