Class notes Pre Calculus

2.1 Part 1 Functions: Determining a Function from table/graph, finding domain algebraically-square roots, rational functions, finding x-intercepts/y-intercepts. 2.1 Part 2 Functions: Functions Operations/Evaluating Functions, finding domain graphically 5.1 Composite Functions: composite functions from equations, tables, and graphs, finding domain 5.2 One-to-One Functions: Inverse Functions (discuss finding range of equations) 2.2 The Graph of a Functions 2.3 Part 1: Properties of Functions 2.3 Part 2 Properties of Functions with graphing calculator (desmos) and applications 2.4 Part 1: Library of Functions (Jigsaw Activity Presentations) 2.4 Part 2: Piecewise-defined Functions 2.5 Part 1: Transformations Introduction 2.5 Part 2: Graphing Techniques: Transformations Semester 1 Chapter 2 Functions and their Graphs 2.1 Part 1 Functions: Determining a Function from table/graph, finding domain algebraically-square roots, rational functions, finding x-intercepts/y-intercepts. 2.1 Part 2 Functions: Functions Operations/Evaluating Functions, finding domain graphically 5.1 Composite Functions: composite functions from equations, tables, and graphs, finding domain 5.2 One-to-One Functions: Inverse Functions (discuss finding range of equations) 2.2 The Graph of a Functions 2.3 Part 1: Properties of Functions 2.3 Part 2 Properties of Functions with graphing calculator (desmos) and applications 2.4 Part 1: Library of Functions (Jigsaw Activity Presentations) 2.4 Part 2: Piecewise-defined Functions 2.5 Part 1: Transformations Introduction (desmos activity) 2.5 Part 2: Graphing Techniques: Transformations (quizizz activity) Chapter 3/4 Quadratics, Polynomials, Rational Functions 3.3 Quadratic Functions and Their Properties (Graphing from standard/vertex form, finding vertex, intercepts, domain, range) 3.5 Inequalities Involving Quadratic Function (Graph and Algebraically) 4.1 Polynomial Functions 4.2 Part 1 The Real Zeros of a Polynomial Function 4.2 Part 2 Supplemental-Practice Synthetic Division 4.2 Part 3 The Real Zeros of a Polynomial Function (Rational Root Theorem) 4.3 Complex Zeros: Fundamental Theorem of Algebra 4.4 Properties of Rational Functions 4.5 The Graph of Rational Functions Chapter 5: Exponents and Logs Rules of Exponents 5.3 Graphing Exponents and Logs, Solving Exponential Equations with the same base 5.4 Converting between logs and exponents