# How do you make a table and graph for h(x) = x^3-4? What is the domain, range, and intercepts?

Feb 9, 2018

Domain = $\left(- \infty , \infty\right)$
Range = $\left(- \infty , \infty\right)$
x-intercept = $\sqrt[3]{4}$
y-intercept = $- 4$

#### Explanation:

The graph is shifted 4 spaces down, so it looks like
graph{x^3-4 [-5,5 , -10,10]}
To make a table, just plug in an x value, and record the y value. Different professors want different ranges of x-values, but I typically use whole numbers 3 spaces above & below the centerpoint. so for this problem, I'd use
$\left[- 3 , 3\right]$
and record the y-values as irrationals