A Library of Functions and Transformations

Identify and sketch polynomial, power, and rational functions by analyzing their key features.

Identify and sketch exponential and logarithmic functions, and describe their inverse relationship.

Graph complex functions by applying horizontal and vertical shifts, stretches, and reflections to parent functions.

Combine multiple functions using arithmetic operations (addition, subtraction, multiplication, division).

Construct composite functions from two or more given functions and determine their domain.