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
Find x-intercepts and determine "multiplicity" (does the graph cross or bounce?). Asymptotes: Vertical: Where the denominator equals zero. Precalculus with Limits: A Graphing Approach
Always check for "illegal" math (denominators of zero or negatives in square roots). Identify Amplitude (height), Period (length of one cycle),
Use a graphing calculator to verify your hand-drawn sketches, not replace them. Identify Amplitude (height)