A Graphing Approach — Precalculus With Limits:

These determine the horizontal asymptotes of the graph. 🚀 Study Tips

Use a graphing calculator to verify your hand-drawn sketches, not replace them. Precalculus with Limits: A Graphing Approach

Use the Leading Coefficient Test to see where the graph goes as These determine the horizontal asymptotes of the graph

Always check for "illegal" math (denominators of zero or negatives in square roots). Precalculus with Limits: A Graphing Approach

Graphing is easier when you view equations as "shifts" of the parent functions. Horizontal Shifts: (Right) or Reflections: (Over x-axis) or (Over y-axis) Scaling: stretches or shrinks the graph vertically. 3. Analyze Polynomial & Rational Functions

The "Limit" describes the behavior of a function as it approaches a specific point.