Question

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

Answer 1

Domain = `(-oo , oo)`
Range = `(-oo , oo)`
x-intercept = `root(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
`[-3,3]`
and record the y-values as irrationals