Introduction to Precalculus: Functions and Graphs



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

What you will learn

Identify whether a rule is a function

Find the domain and range of a function

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, etc.)

Calculate the average rate of change of a function over an interval

Description

HOW THIS COURSE WORK:

This course, Introduction to Precalculus: Functions and Graphs, includes the first chapter of a precalculus course, including video, notes from whiteboard during lectures, and practice problems (with solutions!). I also show every single step in examples and proofs. The course is organized into the following topics:

  • Definition of a Function
  • Domain and Range of a Function
  • Vertical and Horizontal Line Test
  • Properties of Graphs
  • Average Rate of Change
  • Piecewise Function
  • Multivariable Function

CONTENT YOU WILL GET INSIDE EACH SECTION:

Videos: I start each topic by introducing and explaining the concept. I share all my solving-problem techniques using examples. I show a variety of math issue you may encounter in class and make sure you can solve any problem by yourself.

Notes: In each section, you will find my notes as downloadable resource that I wrote during lectures. So you can review the notes even when you don’t have internet access (but I encourage you to take your own notes while taking the course!).

Assignments: After you watch me doing some examples, now it’s your turn to solve the problems! Be honest and do the practice problems before you check the solutions! If you pass, great! If not, you can review the videos and notes again.

THINGS THAT ARE INCLUDED IN THE COURSE:


  • An instructor who truly cares about your success
  • Lifetime access to Introduction to Precalculus: Functions and Graphs

HIGHLIGHTS:

#1: Downloadable lectures so you can watch the videos whenever and wherever you are.

#2: Downloadable lecture notes so you can review the lectures without having a device to watch/listen.

#3: One problem set at the end of the course (with solutions!) for you to do more practice.


#4: Step-by-step guide to help you solve problems.

See you inside the course!

– Gina πŸ™‚

English
language

Content

Introduction

Course Outline
Welcome and How It Works
Tips to Maximize Your Learning

Functions and Graphs

Downloadable Notes
What is a Function?
Domain and Range of a Function
Vertical and Horizontal Line Tests
Properties of Graphs
Average Rate of Change
Review: Factoring Techniques
Examples: Domain and Range
Example: Function Behavior
Example: Average Rate of Change
Example: Piecewise Function
Example: Multivariable Function

Conclusion

Thank You & Good Luck & Next Step
BONUS: Let’s Keep Learning!

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