Precalculus

Functions & Graphs

• Domain and Range

• Function Notation

• Types of Functions: Linear, Quadratic, Polynomial, Rational, Exponential, Logarithmic

• Transformations of Functions: Shifts, Reflections, Stretching, and Shrinking

• Inverse Functions

• Composition of Functions

Polynomial Functions

• Degree and Leading Coefficient

• Roots/Zeros of Polynomials

• Factoring Polynomials

• Rational Root Theorem

• Descartes' Rule of Signs

• Synthetic Division

Rational Functions

• Simplifying Rational Expressions

• Asymptotes: Vertical, Horizontal, and Oblique

• Analyzing Graphs of Rational Functions

Exponential & Logarithmic Functions

• Properties of Exponents

• Exponential Growth and Decay

• Logarithmic Functions and Properties

• Change of Base Formula

• Solving Exponential and Logarithmic Equations

Trigonometry

• Unit Circle and Radian Measure

• Trigonometric Functions: Sine, Cosine, Tangent, etc.

• Graphs of Trigonometric Functions

• Trigonometric Identities: Pythagorean, Reciprocal, Quotient

• Inverse Trigonometric Functions

• Solving Trigonometric Equations

Angles & Measurement

• Degrees vs. Radians

• Converting between Degrees and Radians

• Reference Angles

• Coterminal Angles