Learn how to graph a rational expression with symmetry about the origin

The video tutorial covers the process of graphing a function by identifying vertical and horizontal asymptotes, checking for symmetry, and choosing points for graphing. The instructor explains how to solve for vertical asymptotes by setting the denominator to zero and discusses horizontal asymptotes by comparing the degrees of the numerator and denominator. Symmetry is checked by evaluating the function for negative inputs, and points are chosen to understand the graph's behavior around asymptotes. The session concludes with a sketch of the graph using symmetry and chosen points.

What is the first step to identify vertical asymptotes in a function?

How do you determine the horizontal asymptote of a function?

What is the relationship between the degrees of the numerator and denominator in determining horizontal asymptotes?

What does it mean if a function is symmetrical about the origin?

How can you check for symmetry in a function?

What steps should you take if you do not have a graphing calculator?

Explain the significance of asymptotes in graphing a function.