What is the reciprocal function

The video tutorial introduces the reciprocal function, starting with the identity function as a foundation. It explains the concept of reciprocals using fractions and demonstrates how to graph the reciprocal function using a table of values. The tutorial further analyzes the graph, highlighting the presence of vertical and horizontal asymptotes, and describes the graph's shape as a hyperbola. The video concludes with a basic introduction to the reciprocal function and its graph.

How does the graph of the reciprocal function differ from that of the identity function?

Describe the behavior of the reciprocal function as x approaches zero.

What are vertical and horizontal asymptotes in the context of the reciprocal function?