# Math 1A/1B. Pre-Calculus: Functions and Graphs - UCI

Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus.

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Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), ocw.uci.edu/courses/math_1a1b_pr....html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (creativecommons.org/licenses/by-sa/4.0/).

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## 1) Intro to Functions and Graphs## Pre-Calculus: Intro to Functions and Graphs Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 2) Circle Equations## Pre-Calculus: Circle Equations Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D (http://creativecommons.org/licenses/by- |

## 3) Composition of Functions, Part 1## Pre-Calculus: Composition of Functions -- Part 1 Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 4) Composition of Functions, Part 2## Pre-Calculus: Composition of Functions -- Part 2 Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 5) Composition of Functions, Part 3## Pre-Calculus: Composition of Functions -- Part 3 Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 6) Difference Quotient## Pre-Calculus: Difference Quotient Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 7) Distance in the Plane## Pre-Calculus: Distance in the Plane Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 8) Domain## Pre-Calculus: Domain Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 9) Domain and Intercepts## Pre-Calculus: Domain and Intercepts Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 10) Finding the Domain and Range from a Graph## Pre-Calculus: Finding the Domain and Range from a Graph Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 11) Equations of Quadratic Functions## Pre-Calculus: Equations of Quadratic Functions Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 12) Evaluating Functions## Pre-Calculus: Evaluating Functions Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 13) Piecewise-Defined Functions## Pre-Calculus: Piecewise-Defined Functions Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 14) Math 1A/1B. Pre-Calculus: Finding the Inverse of a Function## Pre-Calculus: Finding the Inverse of a Function Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 15) Functions and the Vertical Line Test## Pre-Calculus: Functions and the Vertical Line Test Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 16) Graphing a Line## Pre-Calculus: Graphing a Line Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 17) Graphing a Parabola, Part 1## Pre-Calculus: Graphing a Parabola -- Part 1 Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 18) Graphing a Parabola, Part 2## Pre-Calculus: Graphing a Parabola -- Part 2 Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 19) Graph Transformations, Part 1## Pre-Calculus: Graph Transformations -- Part 1 Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 20) Graph Transformations, Part 2## Pre-Calculus: Graphing Transformations -- Part 2 Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 21) Increasing/Decreasing/Constant## Pre-Calculus: Increasing/Decreasing/Constant Instruct Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 22) Inverse Functions## Pre-Calculus: Inverse Functions Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 23) Equations of Lines## Pre-Calculus: Equation of Lines Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 24) Maximum/Minimum Quadratic Function Word Problems## Pre-Calculus: Maximum/Minimum Quadratic Function Word Problems Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 25) Midpoint## Pre-Calculus: Midpoint Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 26) Odd and Even Functions## Pre-Calculus: Odd and Even Functions Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 27) Parallel and Perpendicular Lines## Pre-Calculus: Parallel and Perpendicular Lines Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 28) Plotting Points in the Rectangular Coordinate System## Pre-Calculus: Plotting Points in the Rectangular Coordinate System Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 29) Quadratic Inequalities## Pre-Calculus: Quadratic Inequalities Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 30) Relation Versus Functions## Pre-Calculus: Relation Versus Functions Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 31) The Slope of a Line## Pre-Calculus: The Slope of a Line Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 32) Finding the Slope of a Line Given Its Equation## Pre-Calculus: Finding the Slope of a Line Given Its Equation Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 33) Converting a Quadratic Function from Standard to Vertex Form## Pre-Calculus: Converting a Quadratic Function From Standard to Vertex Form Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 34) Sum, Difference, Product, and Quotient of Two Functions## Pre-Calculus: Sum, Difference, Product, and Quotient of Two Functions Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

## 35) Verifying Inverse Functions## Pre-Calculus: Verifying Inverse Functions Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D |

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