Functions and Graphs notes
29 notes by 28 users
This Functions and Graphs page on GoConqr gathers user-made notes on topics from domains and ranges to rational functions and graph transformations. School students can use them to practise functions and graphs, while teachers can find material for lessons; a few notes also suit university students. Explore the over 20 notes and pick a topic to start.
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- Relations and Functions38
- Function Notation and Evaluation9
- Domain and Range29
- Types of Functions and Parent Functions69
- Graphing and Analyzing Functions27
- Operations and Composition of Functions8
- Inverse Functions14
- Graph Transformations58
- Linear and Quadratic Functions38
- Rational Functions12
- Exponential and Logarithmic Functions10
- Direct and Inverse Variation12
- Function Models and Applications9
Notes
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Mathematics: Core 3 (Notes 1 of 1) A function is an operation that takes one number and transforms it into another. It is only a function if every number in the domain goes to only one number in the range.The set of numbers you can start with is called...
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Untitled CHAPTER 1: Introductory Concepts Function definitions: If a variable number y is determined uniquely when a second variable x is specified, y is stb a function of f of x (x is the independent variable, y is dependent)...
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Concept Map - created from Mind Map Chapter 1 Chapter 2 Chapter 7.1
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Graphs of Rational Functions
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Untitled
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Mathematics: Functions A stadium can hold 25 000 people. People attending a regular event at the stadium must purchase a ticket in advance. When the ticket price is €20, the expected attendance at an event is 12 000 people. (a) ...
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Chapter 4: Functions - created from Mind Map Reflecting Graphs; Symmetry Operations of Functions Properties of Functions
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Introduction to Functions Core 3 Chapter 1 Introduction to functions 1 There are two types of functions; One-To-One functions and Many-To-One One-To-One Functions
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Translations and Families of Functions PARENT FUNCTION - THE SIMPLEST FORM IN A SET OF FUNCTIONS THAT FORM A FAMILY Each function in the family is a transformation of the parent function TRANSLATION - ONE TYPE OF TRANSFORMATION, SHIFTS THE GRAPH OF ...
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Unit 2 Graphing Basics: Ordered Pairs: ( x, y ) a point on the coordinate plane. A sort of solution set but there are many different ordered pairs that can solve an equation. asymptote: the space between the axis and a line ...
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Rational Functions and Graphs
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Functions and graphs The Modulus Function What is the modulus Function? The modulus function is used for expressing a difference. It shows the non negative value by calculating the magnitude. What is the modulus function used for/Why...
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Untitled FUNCTIONS! A function is a set of data that has a single output for each input. Functions describe the relationship between an input and its output. Now that is something very difficult to understand so lets just try ...
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Untitled P.O.CHow do i determine what the graph will look like bu the equation? NOTES:graph the function, state domain, and range, and write the ordered pairs. f(x)= -2sqrt x-4
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Coordinate geometry polynomials A vertical asymptote always gives an x-value. So, they are always written as a x= equation Graphing method for vertical asymptotes: Vertical asymptotes show up as vertical lines that both sides of the graph approach, ...
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Even and odd funtions
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Transformation Functions g(x)=f(x)+k (press for a video if you want extra help) what does k mean: if the value plugged in for K is positive, move the given line up how ever many units it says if the value plugged in for K is negative, mo...
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Notes for Function
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Algebra 2 SOL review notes For evaluating functions:Plug all problems into Y= key on calculator Example: graphing functions: f(x)=5/x-1, f(x)= 5/x+1, f(x)=x+1/x-1 Look at graph and determine which on is the correct answer * also try 2nd Table t...
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Functions review
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Math 1: Functions and their Applications In general the two related variables x and y are such that values of y depend on the values of x, then x is called independent variable and y is called dependent variable. ECONOMIC FUNCTIONS: 1. Demand function:...
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Core 3 Revision Notes DOMAINeg. xvalues function performed on RANGEeg. yresults from function calculations MAPPING ONE-ONE MANY-ONE ONE-MANY MANY-MANY
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Transcendental Functions - created from Mind Map Exponential Logarithmic Real world
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Homework (Practice Exercise) Homework (P. 12 Q. 2) (a) Domain: (-4, 4] Range: [0, 4] (b) Domain: [-1, 5] Range: [0, 4] (c) Domain: (-∞, +∞) Range: [0,+∞) (d) Domain: (-∞, -2] U (2, +∞) Range: (-∞, 3] U [4, +∞) (e) Domain...
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functions unit test cheat sheet
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Untitled Unit 3: Functions This unit contains linear models, rate of change, intercepts, and direct variation. Defining different vocabulary terms and tactics, to better understand the unit. Relation: collection of order...
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Graphical Solutions To Equations - Difficult Exam Questions
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Domain, Range, and End point behavior Domain: Input Values (X) Range: output values (Y) The End Behavior of a function describes what happened to f(X) values as the x- values either increase or decrease (without bound) As X→+∞, f(x)&...
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Straight Line Graphs Straight line graphs can be used to create a map of events based on real life events. Graphs are easily made if a table of values is used to find some of the values of some points that lie on the line. Only 3 points a...
More Functions and Graphs resources
About functions and graphs notes
GoConqr OriginalUsing Functions and Graphs notes
For a starting point, the Core 3 notes introducing functions explain domains and ranges. They are useful if you want to revisit what makes a relationship a function before moving on to graphs.
For a closer look at graph behaviour, Graphs of Rational Functions includes examples involving horizontal and vertical asymptotes. Translations and Families of Functions introduces parent functions and translations, while Straight Line Graphs offers another topic to explore.
Turn notes into revision
Read a section, then cover it and write down the idea in your own words. For graph topics, sketch an example as you review the explanation. Return to the note to check what you missed, and compare it with another note on the same topic.
When you want to test your understanding or recall a rule, switch to a quiz or flashcards on the unit page. Choose a note and begin with the part you want to revisit.
Frequently asked questions
Which note should I start with?
The Core 3 notes introducing functions are a useful place to start if you want to revisit domains and ranges. For graph behaviour, Graphs of Rational Functions works through examples involving asymptotes. Choose the topic that matches what you are studying now.
What topics do these notes cover?
The notes cover functions and graphs from several angles. Rational Functions and Graphs discusses rational functions, while Translations and Families of Functions introduces parent functions and translations. Other listed notes cover straight-line graphs, domain and range, and coordinate geometry polynomials.
Are the notes free to use?
Yes. Every note listed here is free to open and study without an account. A free account also lets you make your own notes, quizzes, mind maps and flashcards, and saves your quiz scores. The listed resources were made by GoConqr users.