Precalculus With Limits: A Graphing Approach [WORKING]

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

Follow the line from both sides; if they meet at the same height, the limit exists. Algebraic View: Try direct substitution first; if you get , factor or rationalize. Precalculus with Limits: A Graphing Approach

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 Compare the degrees of the numerator and denominator

The "Limit" describes the behavior of a function as it approaches a specific point. Algebraic View: Try direct substitution first; if you

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

If a graph looks weird, plot 3-5 specific points to anchor it.

Before graphing complex equations, you must recognize the "parent" functions by sight. (Diagonal line) Quadratic: (U-shaped parabola) Cubic: Absolute Value: Square Root: (Starts at origin, curves right) Reciprocal: (Hyperbola with asymptotes) 2. Understand Transformations