Functions: Your Complete Guide

Name: Functions: Your Complete Guide
Rating: 4.6 (43 reviews)

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

Created byBrian McLogan

Last updated 11/2017

English

English [Auto],

What you'll learn

Show their teacher they understand functions and demand a better grade
Have a better understanding and confidence understanding functions

Course content

9 sections • 49 lectures • 5h 39m total length

What is the definition of a relation3:56
Learn what is a relation and what makes it up
What is the definition of a function6:07
Learn what makes up a function
Examples of determining if mapping is a function or not3:05
Learn how to determine if mapping is a function or not
Examples of determining if a set of points is a function or not3:04
Learn how to determine if a set of points is a function or not
What is the vertical line test?4:39
Apply the vertical line test to decide if a relation is a function; if a vertical line crosses the graph twice, it is not a function.
Examples of determining if the graph is a function or not5:03
How to determine if a graph is a function or not
Examples of determining if an equation is an example of a function or not12:57
Learn to determine if an equation is a function by solving for y uniquely for each x, examining linear, quadratic, odd versus even powers, square roots, and absolute values.
Examples of determining if the function is linear or not3:04
Learn how to determine if a function is linear or not

What is the domain of a function2:44
Learn about the domain of a function
What is the range of a function2:55
Learn about the range of a function
Examples of determining the domain and range from mapping2:49
Learn how to determine the domain and range from mapping
Examples of determining the Domain and Range From a Set of Points3:29
Learn how to determine the domain and range from a set of points
Examples of determining the domain and range from a graph10:30
Learn how to determine the domain and range from a graph

How to determine extrema of a function4:15
Learn how to find the extrema of a function
Examples of finding extrema from a graph4:32
Learn how to determine the extrema of a graph
How to determine the increasing decreasing and constant intervals5:52
Learn how to determine the increasing decreasing constant intervals
Examples of writing the Increasing, decreasing intervals of a graph6:23
Learn how to find the increasing decreasing intervals from a graph
What is boundness?2:28
Learn what is boundness
Examples for determining how functions are bounded3:19
Learn how to determine boundness
What is end behavior2:50
Analyze end behavior of polynomials by applying the leading coefficient test to determine where graphs rise or fall as x approaches infinity or negative infinity.
How to determine end behavior3:32
Determining the end behavior of a function algebraically7:11
Determine end behavior algebraically by identifying the degree and leading coefficient of a polynomial after arranging it in descending power form.

Examples for evaluating Functions14:53
Learn how to evaluate functions
How to apply operations to functions10:38
Learn how to apply operations to functions
Examples of applying operations of Functions Linear and Quadratic10:30
Add, Subtract, Multiply and Divide Two Functions Linear and Quadratic then find the domain for dividing
Examples of applying operations of Functions Rational and Radical12:14
Add subtract multiply and divide two functions Rational and Radical
How to compose two functions5:10
Learn how to compose functions
Examples for composing two functions linear and quadratic11:22
Compose two functions and then evaluate linear and quadratic
Examples for composing and Evaluating two functions radical and rational8:01
Explore composing two functions with a radical and a rational expression by substituting g into f and evaluating examples. Note when the radical is undefined, consider the imaginary number option.

How to determine if a function is even or odd7:34
learn how to determine if a function is even or odd using graph symmetry about the y-axis or origin and algebraic tests with f(-x) to decide even, odd, or neither.
Determine if a function is even or odd graphically4:26
Determine if a function is even or odd algebraically7:13
Determine whether a function is even or odd by evaluating f(-x), recognizing even symmetry about the y-axis and odd symmetry about the origin, with algebraic examples.

How to determine the inverse of a function7:41
Learn how to determine the inverse of a function
Examples for graphing the inverse of a function6:01
Learn to graph the inverse of a function
Examples for finding the inverse of quadratic and square root functions11:23
Learn multiple examples to finding the inverse of quadratic and square root
Determine the inverse of a function Algebraically6:02
Prove functions are inverses of one another examples 15:28
Learn to prove two functions are inverses by composing f and g and showing f(g(x))=x and g(f(x))=x, with examples.
Prove functions are inverses of one another ex 26:51
Learn how to prove two functions are inverses by composing them in both orders f(g(x)) and g(f(x)) and simplifying to the identity function.
What are the different types of Linear correlations3:55
Explore positive, negative, and no correlation using scatterplots and line graphs, and distinguish strong versus weak relationships in data such as student grades.

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 processes
Videos with multiple examples basic to hard
Practice worksheets to refine your skills, answers included
Quizzes 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.

Who this course is for:

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

Functions: Your Complete Guide

What you'll learn

Explore related topics

Course content

Functions and Relations8 lectures • 42min

Linear Correlation4 lectures • 29min

Domain and Range5 lectures • 22min

Characteristics of Functions9 lectures • 40min

Transformations of Functions3 lectures • 33min

Domain of Functions Algebraically3 lectures • 34min

Operations of Functions7 lectures • 1hr 13min

Determine if Functions are even odd or neither3 lectures • 19min

Inverses of Functions7 lectures • 47min

Requirements

Description

Who this course is for: