Question

How do you trace on the graph the point angular of this function?

Answer 1

\[y=3x+|x-1|\]

Answer 2

Most thorough way, in my opinion, is examine two cases.

Where \(x \ge 1\) we have \(|x-1| = x-1\;and\; y = 3x + (x-1)\;and\;y = 4x-1\)
Where \(x \lt 1\) we have \(|x-1| = 1-x\;and\; y = 3x + (1-x)\;and\;y = 2x+1\)

Graph those two lines and see if he rest dawns on you.

Answer 3

thanksss