# How do you graph the function y=3absx over the domain -3 <=x <=3?

Nov 15, 2016

I am answering this question to introduce an innovative graphing, for 3 abs ( x ), using a graphic device. See explanation

#### Explanation:

Use $| x | = \sqrt{{x}^{2}}$

The inserted graph is for $y = 3 \sqrt{{x}^{2}}$

Table for making the graph yourself:

$\left(x , y\right) : \left(- 3 , 9\right) \left(- 2 , 6\right) \left(- 1 , 3\right) \left(0 , 0\right) \left(1 , 3\right) \left(2 , 6\right) \left(2 , 9\right)$

graph{y - 3sqrt (x^2) = 0 [-10, 10, -5, 5]}