Functions: Your Complete Guide

Learn step by step everything you need to know through multiple examples about functions

What you'll learn

Show their teacher they understand functions and demand a better grade

Have a better understanding and confidence understanding functions

Requirements

You should know the basics on graphing

You should know how to solve equations

You should have know how to simplify expressions

Description

Functions show up in Algebra 1, Algebra 2, Pre-Calculus and Calculus.  Understanding functions is essential to understanding and excelling in these courses. This course starts with basic elements of functions you will learn in Algebra 1 and then ends with what you need to know for Pre-Calculus and Calculus.
If you are taking any one of these courses Functions is going to come up and my course is designed to give you the confidence to tackle every problem you will encounter in the high school and undergraduate college setting.
Each section is broken down just like this
Videos explaining essential definitions and processesVideos with multiple examples basic to hardPractice worksheets to refine your skills, answers includedQuizzes to take as many times as you need to earn 100%
In summary I work out over 180 examples and provide over 200 problems for you to try. I selected problems that you will encounter in your class, on tests and in upcoming courses. 
Understanding functions is very important.  Not only will this course help your grade but it will help you understand all the other topics you will learn in later math classes.
I look forward to helping you learn showing you that anyone can learn math.

Overview

Section 1: Functions and Relations

Lecture 1 What is the definition of a relation

Lecture 2 What is the definition of a function

Lecture 3 Examples of determining if mapping is a function or not

Lecture 4 Examples of determining if a set of points is a function or not

Lecture 5 What is the vertical line test?

Lecture 6 Examples of determining if the graph is a function or not

Lecture 7 Examples of determining if an equation is an example of a function or not

Lecture 8 Examples of determining if the function is linear or not

Section 2: Linear Correlation

Lecture 9 How to label linear correlation graphs

Lecture 10 Learn how to sketch a best fit line

Lecture 11 Examples determining the best fit line

Lecture 12 Examples determining the correlation and trend line

Section 3: Domain and Range

Lecture 13 What is the domain of a function

Lecture 14 What is the range of a function

Lecture 15 Examples of determining the domain and range from mapping

Lecture 16 Examples of determining the Domain and Range From a Set of Points

Lecture 17 Examples of determining the domain and range from a graph

Section 4: Characteristics of Functions

Lecture 18 How to determine extrema of a function

Lecture 19 Examples of finding extrema from a graph

Lecture 20 How to determine the increasing decreasing and constant intervals

Lecture 21 Examples of writing the Increasing, decreasing intervals of a graph

Lecture 22 What is boundness?

Lecture 23 Examples for determining how functions are bounded

Lecture 24 What is end behavior

Lecture 25 How to determine end behavior

Lecture 26 Determining the end behavior of a function algebraically

Section 5: Transformations of Functions

Lecture 27 How to identify the transformations of a function

Lecture 28 Examples of Identifying Transformations of Functions in Function Notation

Lecture 29 Examples of Identifying Transformations of different functions

Section 6: Domain of Functions Algebraically

Lecture 30 How to determine the domain of a function algebraically

Lecture 31 Determine the Domain of a Function using Interval Notation

Lecture 32 Examples of determining the domain in interval notation part 2

Section 7: Operations of Functions

Lecture 33 Examples for evaluating Functions

Lecture 34 How to apply operations to functions

Lecture 35 Examples of applying operations of Functions Linear and Quadratic

Lecture 36 Examples of applying operations of Functions Rational and Radical

Lecture 37 How to compose two functions

Lecture 38 Examples for composing two functions linear and quadratic

Lecture 39 Examples for composing and Evaluating two functions radical and rational

Section 8: Determine if Functions are even odd or neither

Lecture 40 How to determine if a function is even or odd

Lecture 41 Determine if a function is even or odd graphically

Lecture 42 Determine if a function is even or odd algebraically

Section 9: Inverses of Functions

Lecture 43 How to determine the inverse of a function

Lecture 44 Examples for graphing the inverse of a function

Lecture 45 Examples for finding the inverse of quadratic and square root functions

Lecture 46 Determine the inverse of a function Algebraically

Lecture 47 Prove functions are inverses of one another examples 1

Lecture 48 Prove functions are inverses of one another ex 2

Lecture 49 What are the different types of Linear correlations

Those who are willing to learn,Those who are taking any class involving Functions