Big Little Concept

Graphing Reciprocal Functions Using the Big/Little Concept

Concept

-> numbers getting larger
-> numbers getting smaller
-> numbers getting smaller
-> numbers getting larger




Steps for Graphing

  1. When , it's reciprocal is also 1 (since is )
    • Same with
    • All points on the graph with are part of the reciprocal
  2. The y-int of the reciprocal is the reciprocal of the y-int of the original function
  3. Get asymptotes
    • Vertical asymptotes exist for the reciprocal function when the original function as x-intercepts
    • Calculate horizontal asymptote with Rational Functions
  4. Use big/little concept