Question

graph the function f(x)=-x^3+3 . part one : use complete sentences to explain the process of graphing . Part 2: what is the end behavior

Answer 1

i know what the graph looks like but i just need part one

Answer 2

There's a list of things you can find if you have the know-how.

∙Easiest things to determine are \(x\)- and \(y\)-intercepts, as @heybhai suggests.

∙If you've taken calculus, you can use the first and second derivatives of the function to determine intervals on which it is increasing/decreasing as wells as intervals of concavity. (Let us know if you know about this stuff.)

∙You can also look for vertical and horizontal/slant asymptotes, if there are any. (None for this function.) Part of this requires taking the limits as x increases arbitrarily (which would also answer the second part of the question).

Is there anything I'm missing?

Answer 3

thanks i think i got it now :)

Answer 4

you're welcome!