Even, Odd, or Neither Functions The Easy Way! - Graphs & Algebraically, Properties & Symmetry
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- Опубликовано: 9 сен 2024
- This algebra 2 and precalculus video tutorial explains how to determine whether a function f is even, odd, or neither algebraically and using graphs. This video contains plenty of examples and practice problems using variables and constants. First, plug in -x into the equation and see if the sign changes. If all signs change, it's an odd function. If they all remain the same, then it's an even function. If some change while others do not, the function is neither even or odd. For graphs, even functions are symmetric about the y axis. For odd functions, the symmetry exists about the origin. For circles with even and odd properties, it does not pass the vertical line test and is therefore not 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
_____________________________________
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...
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
Functions and Graphs - Problems:
• Functions and Graphs |...
Functions - Test Review:
• Functions
______________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
Functions and Graphs: ruclips.net/video/ZTEv8OnGaxo/видео.html
Transformations of Functions: ruclips.net/video/tyQLp6x-GoU/видео.html
Graphing Polynomial Functions: ruclips.net/video/rOOefdqMvtA/видео.html
Next Video: ruclips.net/video/BtcKotD6Ni8/видео.html
Hi there! Hope you are well❤... thank you for all your helpful videos! I was hoping if you could make a video on how to decompose trig functions? Thank youuu
“The easy way, and then the way your teacher wants you to do it” 😂
ruclips.net/video/fgAujuvAkgE/видео.html
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I’m already 3 minutes in the video and I get it already. My professor need to takes notes on how this guy teaches
the problem is not with the professor. It's just that you don't pay attention in your class but you do while watching it on youtube.
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Not necessarily. My teacher is retiring this year and quite literally does not give a shit about teaching us properly. The kids in my class act like animals, and I'm lucky if I comprehend anything by the end of class.
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@@ilyasdev8962 I honestly wish I was kidding. An upperclassman thought it would be funny to start scurrying around on all-fours and meow like a cat, hiss by the pencil sharpener, and generally act idiotic.
I needed this refresher. This stuff might seem unimportant now, but it gets important once you get to calculus 2. You will eventually be given an impossible-to-solve problem that simplifies to 0 but only if you know if the function is even.
I find it really interesting how the point of math is solving puzzles
Just after 08:08, you left out the minus in front of the f(x) that proves the function is ODD...
f(-x) = -f(x)
Amazing & clear explanations......... Thank you......!!!!!!!!!
Thank you for pointing out
Omg I came to the comments just to see if I was tripping and I'm glad I saw this first lol
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Thank you! I was a little confused.
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That ending was deep
Awesome video!!!! Explains so much! :)
P.S. You missed a negative sign at 8:10
Jasmine Joaquin thanks so much for saying that. I noticed it but i thought I was going crazy and therefore didn’t understand the material lol
I thought I didn’t understand until u said this. Thx bro
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thought I was trippin
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@@sebastianzevallos473 "frills"
You’ve saved my grades numerous of times! Thank you ❤️
me watching this: “Oh that makes perfect sense! I get it now!”
me looking at my worksheet: *sees fractions, square roots and absolute value* ಠ_ಠ
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Same thought here :)
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Not the pi pun 😭(gotta remember that 3.14159 etc.)
I learned more in a minute, 54 seconds than the whole week we have been on this topic
All these years trying to fully understand the odd function notation f(-x)=-f(x), and now with the factoring out the "-1" finally and suddenly it all made sense! I know I'm late to the party, but thanks anyways...🤣😂😀
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The fact that my teachers never once mentioned an easier solution like checking the exponents is baffling to me. I understand teaching us HOW to get the end results, but also teaching tips and tricks that make it easier also helps. Why make us go through such a tedious process when we can find an answer in a much simpler way? Thank you for teaching us how to show our work AND determine what our answer is quicker
8:12 on the bottom it should say f(-x) = -f(x) for odd function
should that actually say f(x) = -f(x)? I promise I'm not trying to call you out. I got super confused and I'm trying to understand why it should be f(x) = -f(x).
Yes, i guess it’s a slip of tongue. I saw that too and that’s why am here to see if someone saw that too.
probably a mistake
@@jeromeporter9613 cuz he took out the -1, so it supposed to be -f(x), he probably made a mistake
From the bottom of my heart thank you and I wish you all the best
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You've explained how to determine whether a function is even or odd very well and clearly
Thank you
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An excellent video. I'd been searching for clarity on this, and this finally made it click. Thank you!
6:04 "Anything raised to the 0 power is one"
Me: Raises 0 to the power of 0 and obtains 1
Maths: You are a joke to me!
its a math error i have just tried it
@@Hhhhh11388 oh really?
@@Hhhhh11388 no It is not
Indeterminate form.....
There are 7 indeterminate forms .it's one of them.
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MR. Organic Chemistry Tutor, thank you for an excellent explanation of Even, Odd or Neither Functions Allergically and by using Graphs.
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Really love how you cover soany cases. At 13:15 you say "how would you describe a function that looks like this" and i see the point youre making, however i dont believe that relation qualities as a function
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Great Video , what an explaining ! but i think for the circle is neither because function must have one output it can't be even or odd because we want only one output we don't want more than one
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Hello professor
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The last example left me hanging. WHY THE HELL I DID NOT CONSIDERED THAT!!!!!
And also by the way, in 13:18 this isn't a function right? So it means that the answer isn't 'neither'?
Bro Thank you so much
much better than my Dr
13:19, I have a doubt there. We see from the vertical line test that the curve is not that of a function.
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