Common Core: High School - Functions

This subject covers the essential concepts and applications of functions in high school mathematics, preparing students for advanced mathematical reasoning.

Understanding FunctionsFunction Notation and EvaluationGraphing Functions
Transformations of FunctionsInverse and Composite FunctionsFunction Models and Families
Functions in FinanceFunctions in Science and EngineeringFunctions in Everyday Life
Identifying Function Types on TestsChecking Your Work with the Vertical Line Test
Understanding Functi...Function Notation an...Graphing FunctionsTransformations of F...Inverse and Composit...Function Models and ...Functions in FinanceFunctions in Science...Functions in Everyda...Identifying Function...Checking Your Work w...
Study Strategies

Identifying Function Types on Tests

Tips for Recognizing Function Patterns

Knowing whether a function is linear, quadratic, or exponential can save you time on tests. Look for key clues:

  • Linear functions have constant differences.
  • Quadratics have squares and a curved graph.
  • Exponential functions grow (or shrink) rapidly.

Circle or highlight keywords and look for formulas like \( y = mx + b \), \( y = ax^2 + bx + c \), or \( y = a \cdot b^x \).

Examples

  • Spotting that a table with a constant second difference is quadratic.

  • Recognizing a straight-line graph as linear.

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Checking Your Work with the Vertical Line Test