Find the end behavior, Even, ODD or neither, and Leading Coefficient Of the below graph.

Question

Image Here: https://ibb.co/PW8DYY2

Answer 1

This is an odd function because it has symmetry about the origin. You can remember odd=origin. We cannot determine the actual leading coefficient without knowing more than one point on the graph, but it is positive. Think of the basic y=x³ function; it goes down on the left and up on the right. All functions with odd exponents on the leading variable behave like this. (So any x⁵, x³, x⁷, etc. function, including linear functions, with positive leading coefficients.) y= -x³ does the opposite: up on the left, down on the right.