Introduction to Advanced Functions: Functions and Graphs

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

What you’ll 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, and more)
Calculate the average rate of change of a function over an interval

Requirements
Familiarity with algebra
Some basic knowledge with the cartesian coordinates
Description
HOW THIS COURSE WORK

This course, Introduction to Advanced Functions/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 🙂

Who this course is for
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