Precalculus With Limits: A Graphing Approach (2026)

Use the Leading Coefficient Test to see where the graph goes as

Identify Amplitude (height), Period (length of one cycle), and Phase Shift (horizontal slide). Identities: Use Pythagorean identities ( ) to simplify expressions before graphing. 5. Limits: The Bridge to Calculus Precalculus with Limits: A Graphing Approach

Always check for "illegal" math (denominators of zero or negatives in square roots). Use the Leading Coefficient Test to see where

If a graph looks weird, plot 3-5 specific points to anchor it. Period (length of one cycle)

Use a graphing calculator to verify your hand-drawn sketches, not replace them.

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

Compare the degrees of the numerator and denominator. 4. Trigonometry via the Unit Circle Coordinates: Remember