Relations and Functions | Algebra
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- Опубликовано: 30 сен 2024
- This Algebra video tutorial provides a basic introduction into relations and functions. It explains how to write the domain and range of a relation and how to determine if the relation is a function. It also explains how to draw a mapping diagram of the relation as well as a function table. Finally, this video explains how to use the vertical line test to determine if the relation represented by a graph is a function.
Introduction to Functions: • Functions - Vertical L...
Evaluating Functions: • Evaluating Functions -...
Function Operations: • Function Operations
Increasing and Decreasing Functions: • Increasing and Decreas...
Relative Maximum & Minimum Values: • Identifying The Relati...
Relations and Functions: • Relations and Function...
Domain and Range From a Graph: • Domain and Range of a ...
How To Find The Domain of a Function: • How To Find The Domain...
Average Rate of Change of a Function: • Average Rate of Change...
The Difference Quotient of a Function: • Difference Quotient
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Evaluating Piecewise Functions: • Evaluating Piecewise F...
Graphing Piecewise Functions: • Graphing Piecewise Fun...
Composite Functions: • Composite Functions
How To Evaluate Composite Functions: • How To Evaluate Compos...
Composite Functions - Data Table: • How To Evaluate Compos...
Comp. of 3 Functions - Data Table: • Composition of Three F...
Decomposing Functions: • Decomposing Functions ...
Introduction to Inverse Functions: • Introduction to Invers...
How To Find The Inverse of a Function: • How To Find The Invers...
Verifying Inverse Functions: • Verifying Inverse Func...
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Horizontal Line Test - 1 to 1 Functions: • Horizontal Line Test a...
Vertical Line Test: • Vertical Line Test
Graphing Inverse Functions: • Graphing Inverse Funct...
Composite and Inverse Functions: • Composite Functions an...
Even and Odd Functions: • Even, Odd, or Neither ...
Transformations of Functions: • Transformations of Fun...
Linear Functions: • Linear Functions
The Weird Graph of Y = X^X: • The Weird Graph of y =...
Functions and Graphs - Problems: • Functions and Graphs |...
Functions - Test Review: • Functions
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Logarithms Practice Problems: • Logarithms - Practice ...
Writing Equations of Ellipses: • Writing Equations of E...
Hyperbolas - Conic Sections: • Hyperbolas - Conic Sec...
Arithmetic Sequences: • Arithmetic Sequences a...
Geometric Sequences: • Geometric Series and G...
Intro to Probability: • Introduction to Probab...
Intro to Statistics: • Introduction to Statis...
SAT Math Test Prep: • Evaluating Functions a...
ACT Math Test Prep: • ACT Math Test Prep
________________________________________________________________________________________
Algebra For Beginners: • Algebra For Beginners ...
Algebra 2 Introduction: • Algebra 2 Introduction...
Algebra 1 Review Study Guide: • Algebra 1 Review Study...
Algebra Final Exam Review: • Algebra Final Exam Review
Pre-Calculus Final Exam Review: • Precalculus Final Exam...
Full Length Exam Videos + Worksheets: bit.ly/4990rzU
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i’m very confused, i don’t see why he repeated the values twice in the second example but he didn’t rewrite the input value twice
At 11:19 how do we know where to put the line because in that graph a different spot might prove it to be a function. Great job at explaining by the way.
Yeah but that's just for one value but if you can get two values for one of the inputs then it's not a function
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What happens if R= { (x,y)l x+3y=12} ? I am so confused.....
what if there were two identical outputs?
There's no need to write the same point twice in a relation
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But what if there is a repetition in Y value or Output value? Can it be still considered a function? I notice that the video only focuses on the repetition of numbers in X value but how about in Y value? In number 2, there is a repetition in Y value. Can you explain it too? Then what if the repetition in Y value is 4 or more than 4 but different in X value, can it still be considered as a function?
Please, reply to this comment.
yes it is STILL a function if two different x values map to the same y value. That is OK. It is STILL a function which only requires that any given X map to ONLY one Y. Now if you want to say something else about this function. We can say yes it is a function, but we can also say that although it is a function, it is not injective/reversible. It does not have an inverse function and therefore not invertible.
We learned this in 6th grade, aren't we?
For the last graph under vertical line test, what if the vertical line is tangential to the circle?
what grade of math/chemistry is this
There must not be any vertical lines that touches the graph on two points for it to be a function
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