Functions, polynomials, logarithms, matrices, conics, and series. No trigonometry.
The algebra and equation-solving topics precalculus assumes, gathered up front as a single prerequisite review. Foundational developmental-algebra content lives in Algebra 1 & 2 by Topic; this chapter is the precalc-level refresher.
Graphs, functions, lines, transformations, and function operations — the graphical and functional foundation of precalculus.
Quadratic functions, division and zeros of polynomials, the Fundamental Theorem of Algebra, graphing polynomials, rational functions and asymptotes, and variation.
Inverse functions, exponential functions and equations, logarithms and their properties, the change-of-base theorem, and exponential growth and decay.
Linear and nonlinear systems, Gauss-Jordan elimination, determinants, matrix operations, and inverse matrices.
Parabolas, ellipses, and hyperbolas as conic sections; equations, eccentricity, and the general second-degree equation.
Sequences and series, arithmetic and geometric sequences and series, and the Binomial Theorem.