What Is a Function? | Precalculus

This math video tutorial explains what a function is. It is a special relation where there is exactly one output for every input. This video explains how to evaluate a function and how to determine if a graph represents a function using the vertical line test.
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Algebra For Beginners: • Algebra For Beginners ...
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...
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Introduction to Functions: • Functions - Vertical L...
Evaluating Functions: • Evaluating Functions -...
Function Operations: • Function Operations
Increasing and Decreasing Functions: • Increasing and Decreas...
Relative Maximum and 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
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...
Evaluating Composite Functions - Data Table: • How To Evaluate Compos...
Composition of 3 Functions With 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...
Horizontal Line Test - One to One Functions: • Horizontal Line Test a...
Vertical Line Test: • Vertical Line Test
Graphing Inverse Functions: • Graphing Inverse Funct...
Composite Functions 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 - Practice 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...
Probability - Basic Intro: • Introduction to Probab...
Intro to Statistics: • Introduction to Statis...

[@TheOrganicChemistryTutor]

Functions and Graphs: kzbin.info/www/bejne/kIWop2uFo6yUrtE Transformations of Functions: kzbin.info/www/bejne/qqq0faNsrZJ6pbc Graphing Polynomial Functions: kzbin.info/www/bejne/qICylpmaprKpqqM Final Exams and Video Playlists: www.video-tutor.net/ Next Video: kzbin.info/www/bejne/fqqxmpiVhb6aqbs

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[@101falcon]

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[@SharpCookie]

Great explanation! One of my students asked me why do we usually write "f(x)," and I'm guessing "f" stands for function...? I know g(x) is the other common notation.

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คือ ปัญหา ระหว่าง output ( เจ้าของหรือผู้บริหาร (ก็ต่อเมื่อ ) ) กับ input ( นักวิทยาศาสตร์หรือผู้สร้าง ) ครับ และ ต้องการการตอบสนอง ของ ช่องว่างระหว่าง

[@riichan2895]

im just kinda confused in the part where, do u need to add first or subtract? ik theres a PEMDAS rule but why is here different? anyone help

[@ntbyng]

I regret learning quadratic functions before finishing my functions unit :(

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[@theengineeringstudent2678]

When you say, it is not a function, what do you mean by that?

[@mangomanlassi7779]

essentially a function is determined if a straight line cuts through a graph ONLY once. So if it cuts 2 or more times, it isnt a function. What you should do is try to draw a graph, then draw a straight line through it and see if it intersects with the graph once. If yes, it is a function.

[@txuezea4072]

If it's not a function...then it's a relation

[@leulhaile3794]

2:18 I didn’t get it how come y=2(1)+4=6 hw did it come

[@balls2442]

2 multiplied by 1 is 2 than add 4 =6

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Mal-f(x) Dys-f(x)

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Me

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My cousin goes to 5th grade and he already knows what is a function

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2

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Domain Expansion: Malevolent Shrine

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[@elizabethhallett5060]

is not the last answer 19? (pemdas)

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[@PixelPawz]

10:48 Based on PEMDAS, shouldn't f(2,3) be -19? f(2,3) = 2(2²) - 3² + 3(2)(3) f(2,3) = 8 - 9 + 18 f(2,3) = 8 - 27 f(2,3) = -19

[@t3zmazerunner128]

-9 + 18 = 9, not -27. If it was -9 - 18, then it would be equal to -27

[@andromedanyxmortem9386]

You subtract first before adding since you are solving from left to right, not right to left. Just because Addition is ahead of Subtraction in PEMDAS doesn't mean it should always go first. It is just said that after Multiplication/Division(this also applies to these two operations) you then do Addition or Subtraction, depending which comes first. For example: 4 × 5 + 3 - 1 = 22 Addition comes first because it came first before subtraction. In the case of 4 × 5 - 1 + 3, the answer will still be 22 since you first subtracted one then added three. (Idk if this is actually correct because I am currently operating on what remains of my brain cells due to a lot of problems. Like srsly, research problem, algebra projects, statistics quiz, that damned EsP(I am still on the side of replacing this with either ROTC or Philosophy) interview(my teacher is just a boomer who just wants to make our life harder) plus not to mention chemistry. I already have grey hairs and I'm just 13 wth)

[@andromedanyxmortem9386]

Not to mention my algebra teacher talks fast and assumes we know this stuff already despite having two years of modular learning. How does she expect us to remember this?

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