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

1 Answer
Oct 15, 2016

Answer:

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]}