# Ace Precalculus in 5 Hours The Complete Course

Learn the connections between numeric, graphical, and algebraic representations of relations and functions

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## Ace Precalculus in 5 Hours The Complete Course

### What you’ll learn

Identify whether a rule is a function
Find the domain and range of a function (algebraic and transcendental functions)
Identify whether a graph is a function by using the vertical line test
Identify whether a graph is a one-to-one function by using the horizontal line test
Understand and identify properties of a graph (x- and y-intercepts, roots, local extrema, concavity, increasing/decreasing, inflection point, and more)
Calculate the average rate of change of a function over an interval
Find the domain of a combination of functions
Understand transformations of functions (translations, expansion/compression, and reflection)
Sketch a function using transformations of functions
Determine whether a function is an even or odd function, or neither
Find the inverse of a function algebraically and graphically
Learn the algebraic and graphical properties of algebraic functions (power, polynomial, and rational functions)
Understand and evaluate absolute value functions
Learn the algebraic and graphical properties of transcendental functions (exponential, logarithmic, trigonometric, and inverse trigonometric functions)
Evaluate transcendental functions without using calculator
Find the exact values of trigonometric and inverse trigonometric functions using the unit circle

### Requirements

Familiar with algebra
Some basic knowledge with the cartesian coordinates

### Overview

Section 1: Introduction

Lecture 1 Overview

Lecture 2 Welcome and How It Works

Lecture 3 Tips to Maximize Your Learning

Section 2: Functions and Graphs

Lecture 5 What is a Function?

Lecture 6 Domain and Range of a Function

Lecture 7 Vertical and Horizontal Line Tests

Lecture 8 Properties of Graphs

Lecture 9 Average Rate of Change

Lecture 10 Review: Factoring Techniques

Lecture 11 Examples: Domain and Range

Lecture 12 Example: Function Behavior

Lecture 13 Example: Average Rate of Change

Lecture 14 Example: Piecewise Function

Lecture 15 Example: Multivariable Function

Section 3: Operations, Transformations, and Inverses

Lecture 17 Combinations of Functions

Lecture 18 Transformations

Lecture 19 Even and Odd Functions

Lecture 20 Inverse Functions

Lecture 21 Properties of Inverses

Lecture 22 Example: Combinations of Functions

Lecture 23 Example: Transformations

Lecture 24 Example: Even or Odd Functions

Lecture 25 Examples: Inverse Functions

Section 4: Algebraic Functions

Lecture 27 Algebraic Functions

Lecture 28 Power Functions

Lecture 29 Polynomial Functions

Lecture 30 Rational Functions

Lecture 31 Absolute Value Functions

Lecture 32 Example: Domains of Power Functions

Lecture 33 Example: Graph of a Polynomial

Lecture 34 Example: Sketch a Rational Function

Lecture 35 Example: Absolute Value Function

Section 5: Transcendental Functions

Lecture 37 Transcendental Functions

Lecture 38 Exponential Functions

Lecture 39 Logarithmic Functions

Lecture 40 Unit Circle

Lecture 41 Trigonometric Functions

Lecture 42 Inverse Trigonometric Functions

Lecture 43 Examples: Solve Transcendental Functions

Lecture 44 Example: Graphs of Transcendental Functions

Lecture 45 Example: Inverse of Transcendental Functions

Section 6: Conclusion

Lecture 46 Thank You & Good Luck & Next Step

Lecture 47 BONUS: Let’s Keep Learning!

Students about to start precalculus or calculus who are looking to get ahead,Current precalculus students who are looking for extra help on functions and graphs,Homeschool parents looking for extra support with precalculus,Homeschool parents whose child is interested in taking calculus courses in university,Anyone who is familiar with algebra and is interested in more advanced math and calculus

#### Course Information:

Udemy | English | 4h 48m | 2.82 GB
Created by: Gina Chou

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