Question

What are the x-intercepts of f(x)= |2x| - 6?

Answer 1

An x-intercept is of the form (x,0).
It is the coordinate of a point where the graph cuts the x-axis.

To get on the x-axis, the y-coordinate must be zero.

So, set y = |2x| - 6 such that y = 0.

That gives |2x| - 6= 0.
Add 6 to both sides.

|2x| = 6 --> Your task is to solve for x.