Pre Calculus Series - Curve Sketching Toolboxes™
Graphing Facts and Guidelines (PCS-TB1)

This sheet provides a comprehensive review of all of the most important topics, concepts and formulas covering graphing facts and guidelines. Each Toolbox™ sheet fully explains graphing concepts in detail and contains a large number of highly detailed illustrations. Each Toolbox™ also outlines special features and techniques that are specific to sketching the particular type(s) of curves on that sheet.

Topics Covered:

• Relations
• Functions
• Symmetries
• The Stretching Principle
• Vertical and horizontal translation principles
• Reflections
• The absolute value of a function
• Combinations of reflections
• Stretching
• Translations and absolute value
• Intercepts
• Zeros
• Slope
• Increasing and decreasing functions
• Turning points
• The slope of a curve
• Concavity
• Inflection points
• Maximum and minimum values