Question

How do you graph `y=1/3absx`?

Answer 1

Graph an absolute value function with a slope of `+-1/3`.

Explanation:

The "parent function" of `y=1/3absx`
is the absolute value equation `y=color(red)1absx`.

It has a "V-shape" with a vertex at `(0,0)`.
The slope of the lines that form the V are `color(red)(+-1)`.

graph{abs(x) [-10, 10, -5, 5]}

The fraction `color(red)(1/3)` represents the slopes `color(red)(+-1/3)` of the lines that form the "V" of `y=color(red)(1/3)absx`.

graph{1/3absx [-10, 10, -5, 5]}