Question

How do you graph `y = | x^3 - 1 |`?

Answer 1

graph{|x^3-1| [-5, 5, -5, 5]}

Explanation:

Firstly, understand a general cubic graph,

`y=x^3`
graph{y=x^3 [-5, 5, -5, 5]}

Secondly, know that `c=-1`, where `c` is the y-intercept, so move the graph down to `-1`.

`y=x^3-1`
graph{y=x^3-1 [-5, 5, -5, 5]}

Thirdly, by inserting the modulus function, any value that is negative will be positive, so `y>=0`, hence reflecting anything below the x-axis up.

`y=|x^3-1|`
graph{|x^3-1| [-5, 5, -5, 5]}