Question

Graph the function f(x) = –x3 + 3 by hand (not to be submitted).

Part 1 [3 points] Use complete sentences to explain the process of graphing f(x) = –x3 + 3.
Part 2 [3 points] What is the end behavior of f(x) = –x3 + 3?

Answer 1

I would start by determining what happens when x is 0. This is the y intercept.
Then you can try values to the left and right of x = 0 to see where it is increasing and decreasing. Recall the general shape of a cubic function.

Answer 2

note: if the degree is odd, and the sign of the leading coefficient is negative, its going up on left side, and going down on right side.