Question

How do you graph `f(x) =2absx+1`?

Answer 1

With absolutes you usually have to draw two graphs.

Explanation:

When `x>=0` the absolute bars have no function, and you graph `2x+1`

When `x<0` the bars will flip the sign, and the function becomes:
`f(x)=-2x+1`

They will meet at `x=0,f(x)=1->(0,1)`
graph{2|x|+1 [-9.92, 10.08, -0.76, 9.24]}