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

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Answer 1 · 2017-03-29T14:31:34

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

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]}

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