How do you graph y=1/3absx?

1 Answer
Oct 15, 2016

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]}