The "Limit" describes the behavior of a function as it approaches a specific point.
If a graph looks weird, plot 3-5 specific points to anchor it. 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
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 Horizontal Shifts: (Right) or Reflections: (Over x-axis) or
Master Precalculus with Limits: A Graphing Approach This guide focuses on mastering functions, trigonometry, and the introduction to calculus through a visual and graphical lens. 1. Master the Library of Functions