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

1 Answer
Feb 9, 2018

Answer:

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