Precalculus I Lessons

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Functions

What is a Function?

Understand the definition of a function and how inputs map to outputs.

Domain and Range of Functions

Learn how to find the domain and range of any function, with clear examples.

The Graph of a Function

Explore how functions are visualized on a graph and what the graph tells us.

Increasing, Decreasing, and Constant Intervals

Learn how to analyze where functions are increasing, decreasing, or constant.

Even and Odd Functions

Discover what makes a function even, odd, or neither with symmetry examples.

Library of Parent Functions

Meet the most important basic functions that serve as templates for others.

Piecewise-Defined Functions

Understand how piecewise functions work and how to graph them correctly.

Graphing Techniques and Transformations

Function Transformations

Learn how to shift, stretch, reflect, and transform functions visually and algebraically.

Combining Functions (Add/Subtract)

Understand how to add and subtract functions and interpret the resulting graphs.

Combining Functions (Multiply/Divide)

See how multiplying or dividing functions affects their graphs and behavior.

Composition of Functions

Dive into composite functions and how to evaluate and decompose them effectively.

Inverse Functions

Discover how to find the inverse of a function and verify it using composition.

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