Functions: The Building Blocks of Calculus

Identify the domain and range of common functions (polynomial, rational, trigonometric, exponential, logarithmic).

Sketch graphs of common functions using transformations (shifts, stretches, reflections).

Classify functions as even, odd, or neither based on their symmetry.

Compose functions and determine the domain of the resulting composite function.

Determine if a function is one-to-one using graphical and algebraic methods.

Find the inverse of a one-to-one function and state its domain and range.