Function Notation: Evaluating and Simplifying Functions [fbt]
HTML-код
- Опубликовано: 18 сен 2024
- This video by Fort Bend Tutoring shows the process of evaluating and simplifying equations in function notation. Four (4) evaluating functions examples are shown in this video. This evaluation of functions math concept is used in all algebra, precalculus and calculus courses. Intro/Outro by Chuck Knipp's Shirley Q. Liquor. Instruction of simplifying functions by Larry "Mr. Whitt" Whittington. fort bend tutoring functions (evaluate functions) [evaluating a function] functions fbt
[fbt] Video Timestamps
01:47 [1] f(x) = -x² + 5x - 3 and g(x) = 2x + 3
01:57 [1a] f(2)
03:08 [1b] f(b)
03:58 [1c] g(a + 1)
05:14 [1d] g(-1)
06:16 [1e] f(x + 1)
10:13 [2] See graph
10:46 [2a] f(-2)
11:44 [2b] f(0)
12:07 [2c] f(2)
12:38 [3] f = {(-1, 3), (4, 7), (0, 6), (2, 2)} and g = {(-3, 4), (0, -3), (2, -8), (5, 6)}
13:07 [3a] f(-1)
13:31 [3b] g(0)
14:01 [3c] f(2)
14:31 [3d] g(2)
15:00 [4] See graph
15:33 [4a] f(2)
15:52 [4b] f(3)
16:01 [4c] f(-1)
Subscribe to Fort Bend Tutoring [fbt] here: goo.gl/JuczKk
Check out our Fort Bend Tutoring Amazon Affiliate Store for recommendations on products and textbooks to help you in your academic endeavors! www.amazon.com...
FortBendTutorin...
Shop.TutorMeMat...
Composition of Functions
• Composition of Functio...
Please donate to assist us in bringing the world more free videos through our RUclips Channel using the link: www.tutormemath...
This Donation button is secured using PayPal, Inc.
www.TutorMeMath...
/ fortbendtutoring
/ ftbendtutoring
Check out Chuck Knipp at www.shirleyqliquorcds.com
![Function Operations +−×÷ [fbt] (Operations on Functions)](http://i.ytimg.com/vi/dAW1KXejciQ/mqdefault.jpg)
![Function Operations +−×÷ [fbt] (Operations on Functions)](/img/tr.png)
![The Definitive Guide to Finding the Domain of a Function [fbt]](http://i.ytimg.com/vi/yU3Yu9jIjbM/mqdefault.jpg)
![Systems of Linear Equations: The Substitution Method [fbt]](http://i.ytimg.com/vi/fpheMP2DgsA/mqdefault.jpg)
Here's some helpful timestamps 4 this [fbt] function video!
[fbt] Video Timestamps
01:47 [1] f(x) = -x² + 5x - 3 and g(x) = 2x + 3
01:57 [1a] f(2)
03:08 [1b] f(b)
03:58 [1c] g(a + 1)
05:14 [1d] g(-1)
06:16 [1e] f(x + 1)
10:13 [2] See graph
10:46 [2a] f(-2)
11:44 [2b] f(0)
12:07 [2c] f(2)
12:38 [3] f = {(-1, 3), (4, 7), (0, 6), (2, 2)} and g = {(-3, 4), (0, -3), (2, -8), (5, 6)}
13:07 [3a] f(-1)
13:31 [3b] g(0)
14:01 [3c] f(2)
14:31 [3d] g(2)
15:00 [4] See graph
15:33 [4a] f(2)
15:52 [4b] f(3)
16:01 [4c] f(-1)
Peace,
Mr. Whitt
the world should donate to This channel. it's actually better than khan academy.
true
Khan videos are shit.... Poor graphics n messy...
yum yum Samatar so true. I've always asked myself, 'What is the big deal with Khan Academy?' So many people around me praise that channel. When I need help with something, people immediately tell me to check out Khan Academy. 👀 I check it out and it's difficult for me to follow along in most videos (explanations are not clear cut), the graphics are horrendous, etc. In my honest opinion, KA is so overrated.
I use Khan Academy and this in conjunction to learn my functions. 💃🏽 🕺🏽
True tho ..i just came and found this on you tube after i wasnt finding what i wanted on Khan academy
Hands down these are the VERY FINEST algebra videos I have ever seen anywhere online!
These vids are accurate, clearly presented and very precise. Seriously, I wish more people would just jump on this bandwagon and any others that are good instead of posting stuff that is of lesser quality and does not help students as much. Get Whitt it!
lol Nice Norman! Thanks 4 watching and I really appreciate the support!
Fort Bend Tutoring, I passed Algebra! I need you again for Algebra II. I'm ready for another semester with the best math tutor on You Tube. Thank you.
Awesome! Good luck 2 you! We have many concepts that you'll encounter in Algebra II in our Algebra playlist! Thanks 4 watching!
I am a student at Western Governors University and these videos are awesome. they are really helping me pass my algebra class. Thank You, MR. Whitt
This has to be THE BEST channel for math assistance. I have seen so many videos and looked far and near for assistance and this is the only page that has really assisted me. As an older student with a family it is hard to keep up and this page has saved my life.
+Arnette Scott Happy 2 help Arnette! Thanks 4 your testimonial! 😁
This brother is something special I am learning so much from this video then my own professor 🤦♂️
Happy 2 help Rome! Thanks 4 the feedback and support! I really appreciate it! 😁👨🏾🏫
Im so mad I found you so late Mr.Whitt. I love you and you make math so much more understandable. I needed you at the beginning of my pre-cal class in college. But I caught you just before my final.Thanks so much!
I seriously can not explain how grateful I am that I stumbled upon your channel! You really make it much easier to understand. Thank you again 😀
My pleasure Diane! It's great knowing that the work we put into our videos are helping so many people around the world! Thanks 4 watching and giving us feedback!
you are educating with swag bruh. thanks for taking the time out of your day to help us understand these problems better!
+savage vidzz My pleasure! Thanks 4 the support!
Fort Bend tutoring is fun and I really enjoy Mr. Whitt, you are so funny with your comments, that you make it fun to learn without feeling stress...I enjoy your videos and I'm glad that I found because they have been fun and very very educational they have help me tremendously....Thank you!
You're very welcome Claudia! Thanks 4 the feedback!
+Claudia Limon same
Fort Bend produces the best series of math video's (interesting, rationally explained, lots of practice examples, with a down to earth attitude that makes following along very easy) keep it up, much appreciated
Thanks 4 the wonderfully scripted testimony Adam! It's greatly appreciated! :-)
I didn’t know this! Your teaching is very systematic and easy to follow. Thank you!! I’m feeling better about my big standardized test!
you're so good at explaining math, I wish you're my teacher right now.
the description of your examples and the step you used in working the problems are amazing
Thanks 4 the feedback and support Andy!👨🏾🏫😀
I learned and i understood this lesson better than my math prof would explain,thank u sir😊
That intro is so comforting, especially since I was so stressed out about this test. I feel so much better now😌
Happy 2 help Titanium11! Relieving stress is 1 of our goals! Thanks 4 sharing! 👨🏾🏫😁
The finest algebra videos indeed!!! this is explained perfectly.. A lot easier than it seems...
+Peach heart aj Thanks 4 your feedback PHAJ!
I can't thank you enough, you make math so easy. And now I'm red boxing all my answers.
+Aimi “Yoi” Hayashi Awesome Aimi! Thanks 4 watching and red boxin' it! Lol
Can't tell you how much these videos help me out. This takes all the stress out of my current precalculus class. Too much value here to just take for free, donation left! Thanks again my man!
+ISIAC JONES Thanks so much 4 your support Isiac! Your contribution will be used 2 make more free videos in the upcoming weeks!
bruh you make the best math explanation videos ever imo... literally when I don't get something in my math class I go to your youtube and look up the topic
+rain Thanks 4 your patronage! I appreciate the support!
Thanks so much. Thanks to this channel i went from C in algebra honors to A! :D
That's amazing progress Sami! Congratulations!
I do appreciate your method of teaching. It helped me immensely. Thank you
Happy 2 help Lorraine! Thanks 4 watching!
This video has helped me understand many problems on a practice test I was given. Thanks, I feel I will pass the test for sure.
SAVED MY LIFE. THANKS
Our pleasure!
I love you Mr. Whit! Thank you so much for your video. That's some fine teaching.
Props and Love, Melissa
Thanks 4 the support Melissa!
Thank you. I'm a senior education assistant amd do math at the high school level. Very clear explanation. ☺
Happy 2 help Lisa! I appreciate your feedback! 👨🏾🏫😁
Thanks, sir! You certainly helped me out! I''m trying to get my summer HW done by this week as early as possible so I can RELAX. Your channel is one of the most helpful math channels in my opinion on RUclips! :)
+Magdalena St. You're very welcome! Thanks 4 the feedback!
I love this vid .It explained everything step by step an simple i would recommend anybody who don't understand the topic to watch this vid it as helped me alot.
Thanks 4 your feedback and recommendation Kaysalee! I appreciate it! 👨🏾🏫😁
thank you i needed this you explain it better than my new teacher this year does.Now i can do better on math for online school im usually good at it.
My pleasure PandaFlow Beatz! I’m rooting 4 you! 👨🏾🏫😁
In the beginning you sound like Madea from Tyler Perry movies. Cracked me up! but it was hard to take you serious :D anyway, I tried khonacademy before this but they used such confusing words and terms that it was only confusing me more. Thanks for taking this slower and step by step!
+Odyssey BMX Happy 2 help! Thanks 4 sticking it out and watching the rest of the video! LOL
These videos save my life
+nora a. My pleasure Nora!
It's interesting to note that in the first example, when substituting 2 for X, the term -2^2 does not mean that -2 is squared =4. Because-2 is not in brackets the the minus sign applies to 2^2 = -4. I used to have trouble with this but an online video helped me out
BEST TUTOR EVER! Thank you for videos!
My pleasure Marwil! Thanks 4 the support!😁
A great place to learn math ..Ironically I found this place because I was having trouble understanding the same subject material on the Khan academy. Thank you?
Excellent math instruction; thank you.
Thanks 4 your support Vincent!
Biggest Thumbs up to this video 😍 really love the presentation. thanks so much FBT 😍
Wow! Thanks 4 the support Raemart! It's our pleasure 2 help! :-)
Thank you, sir! :D I've been really anxious trying to do this all again as school is starting so thank you for getting the lesson through easily and calmly (I needed it! haha)
Happy 2 help Margie! Good luck at school!
Great job love the relatable slang
loud and clear i love it. thank you i hope you cover more on this subject, my professor teaches us in a different way but this is good
+Erickson_hd Thanks! This should also help: ruclips.net/video/dAW1KXejciQ/видео.html
Great communication, I LOVE THIS CHANNEL
This channel loves you Jasvoid!
Thank you for making functions easier for me . I will be using these videos for my final
This helped me so much. I really appreciate you. Thank you
Happy 2 help! 👨🏾🏫😁
Thank you for this video Mr. Whitt! Functions and I do not get along! For some reason I have developed a mental block with this area of algebra and I have no idea why. Your video has given me some much needed clarity. I will be watching more of your "functions" family videos but I have to say The Definitive Guide to Finding the Domain of a Function video looks a little scary!!
LOL! I understand! I made it look scary because I felt that way about it too until I understood the concept. Give it a chance and tell me what you think!
Thanks, you saved me from a final exam and i was *POPPIN*
Keep those Arrows Poppin’ BDC! ⤴️⤴️👨🏾🏫😎
Excellent job!!!
Thanks 4 the support Jade!
Mr. witt your awesome !!!!!!!
Thank you so much, this has helped me understand so much and now I know I can take my test knowing that I understand the chapter, and again Thank you so much
Good luck 2 you on your test!
Fort Bend Tutoring Thank you
Fort Bend Tutoring Your tutoring is amazing and I will now go to your channel to find certain chapters that I don't understand
Thanks 4 the kind words and the patronage! I'll be rooting 4 you!
Fort Bend Tutoring Thank you
I understood.
Well done
Thanks 4 the support Chantelle! 👨🏾🏫😀
Thank you so much, Sir!
You make it so easy. Ty
+Sam sam You're very welcome Sam!
I love the narrator!
Thanks 4 the love X-Ninjaxx3 Tv!
If only I could put a red box around my life
+Fabrice Saturne jk
You'll get there! Lol A little bit every day! ;-)
thx
Like the channel easy to understand
always thankful for your vids🌻🌻🌻❤❤❤
I’m blushing! Thanks so much 4 your support Kenzie! I really appreciate it! 😁
I finally understand this. Thanks man
+boondocks kidd You're very welcome! Thanks 4 the feedback!
you are the best
You guys are awesome.
God Bless you
First channel I actually subscribe by choice n not on accident Yee
Thanks 4 the support Ivan! I really appreciate it! 👨🏾🏫😁
This video saves me
Happy 2 help PBE!
Very helpful
Fantastic! Happy 2 help!
I do have a question what do you do when you have a variable as the x value for example F(x^2)=x^2+2 would you mark it as 2x^4 +2 or could it be counted as x^4 +2 ? how would you apply the the given f(x) function ?
👌🏻thank you very much
Happy 2 help Noof!
I finally understood something HAHAHAHAAH thank u so much!
Happy 2 help Veron!
this helped me a lot actually! so THANK YOU!!!!
Thank you 👍
My pleasure Lori! Thanks 4 watching! 👨🏾🏫😁
Thank you for the help!
+Ima Mia My pleasure! Thanks 4 watching!
Taking my college math for a second time and you are the best at explaining step by step information where one can understand. Thanks so much for your videos, they are much appreciated. I also like the app that you are using, what is the app where you can display those graphs? Marissa
Thanks 4 watching Marissa! We use an older version of Penultimate by Evernote.
+Luvly Btrfly03 Im in 7th grade
get the idea
I think you made a mistake on problem number 1 Mr Whitt. You said -2 squared is -4, and -2 squared is supposed to be +4. Just thought I let you know. Love you though; you’re a genius and I learn a lot from you.
Our first problem has the opposite of two squared or negative two squared, not the square of negative two. In our first example, -2²; means -1 ● 2 ● 2 which equals -4. Squaring negative two is written as (-2)²; which means (-2)(-2) and equals 4. Thanks 4 watching!
As D.J. Khaled would say.. "I like that, I like that" :D
Thank you!!!!
My pleasure Unah!👨🏾🏫😁
love this!!
+freia shipard Thanks 4 the support Freia!
My Arow is popin ladies and gentlemen 💥🌶
-2^2 = 4, -2 x -2 =4. These videos are great though!!
+Josephine Louise You're incorrect Josephine. Our first problem has the opposite of two squared or negative two squared, not the square of negative two. In our first example, -2²; means -1 ● 2 ● 2 which equals -4. Squaring negative two is written as (-2)²; which means (-2)(-2) and equals 4. Thanks 4 watching!
Nice
Love it. Red boxing it.
You know it Casmanwhat! RED BOXIN' IT!
Thanks man
+Ryan Mc Allister You're welcome Ryan! Happy 2 help!
Mr. Whitt I'm not great at math and was wondering if you or anyone can explain to me that the first example you showed us (? 1a), Why was negative 2 squared equal to negative 4 don't the 2 negative values create a positive 4? Please respond when you have a chance I'm really confused.
+Estevan Gallardo Hello Estevan! Our first problem has the opposite of two squared or negative two squared, not the square of negative two. In our first example, -2²; means -1 ● 2 ● 2 which equals -4. Squaring negative two is written as (-2)²; which means (-2)(-2) and equals 4. Thanks 4 watching!
4:52 right her lol
Nice vid tho. helped me alot
lol! Happy 2 help Christian! Thanks 4 watching!
I'm still confused but good to see others get it
+tre n Sorry 2 hear that Tre! Check out our recommended channels list to find another video on the topic that may help you!
+Fort Bend Tutoring I've watched many that seemed easy but when I put pencil to paper it gets a little confusing. I watched a few that you guys list but it's the way I comprehend that makes it confusing for me. But thanks for the help
Are you a retired/resigned teacher thats why you're good at teaching this? (Good vid i actually get it for the next 5 mins) :)
lol! Good 1 MarvinCraft! I’m a current teacher! 👨🏾🏫
-2 squared is a positive 4 not -4
+Kevin Vesoloski Our first problem has the opposite of two squared or negative two squared, not the square of negative two. In our first example, -2²; means -1 ● 2 ● 2 which equals -4. Squaring negative two is written as (-2)²; which means (-2)(-2) and equals 4. Thanks 4 watching!
i don't get it
Also got confused right here. I always thought a negative number squared was always positive...?
Yeah. I think it's +4.
Numbers popping 😅😂math ✍🏽🙌🏽
what is the given value of x is a fraction like 2/3,3/4,1/2 etc.?
You made a mistake at 3:07. -2 squared is 4. Not -4
+Scribblemania In our first example, -2² means -1 ● 2 ● 2 which equals -4. Thanks 4 watching!
-(2)^2 means (2)(2) then times -1. It should have been clearer.
Mr. Whitt need a video on completing square with vertex. Help! Test Wednesday.
+Barbara Brooks This should be helpful ruclips.net/video/jTLuHxxXY_g/видео.html
I would like to know what type of tablet you were using in your tutorial.
+Karaus Miller An Apple iPad Air.
When you multiply two negative numbers does that not make a positive? Referring to the first question 1.a....
That's true, however -2^2 means -1x2x2. If the expression was (-2)^2, then you would have (-2)(-2). To raise a negative to a power, you have to include it with parentheses.
Fort Bend Tutoring Doh! Thanks! :)
No problem! Thanks for the post!
can i ask u something? on x or f(x) the x on the parenticis is it any number or no?
please i really need it Thanks
+FROZEN THRONE It depends on the problem. In most evaluation problems, they will tell you the x-value to use.
if it wants me to find g(g(2)) and my equation is g(x)=x^-1 how do I solve it?
Plug 2 into the equation, then plug the result back into the equation for your final answer.
When negatives are multiplied do they not become positive? The exponent is even numbered so (-2)(-2)=4. The answer to 1a should be 11
+AZ'S TOP KARAOKE Only if there are an even number of negatives. ruclips.net/video/HKxFtb28wmo/видео.html
Mr. White on b is that supposed to be a positive 4.
+Barbara Brooks If you're referring to 2b, yes it's 4.
Have you done any videos on Inverse Functions??? I didn't see any. Can you help Please
Not yet. Check out one of the channels we recommend.
Thank you
negative 2 squared is positive four not negative 4 unless you isolate the number with parentheses
Our first problem has the opposite of two squared or negative two squared, not the square of negative two. In our first example, -2²; means -1 ● 2 ● 2 which equals -4. Squaring negative two is written as (-2)²; which means (-2)(-2) and equals 4. Thanks 4 watching!
I just got confused when you said -2 squared is equal to -4. why ? it should be a positive 4.
Our first problem has the opposite of two squared or negative two squared, not the square of negative two. In our first example, -2²; means -1 ● 2 ● 2 which equals -4. Squaring negative two is written as (-2)²; which means (-2)(-2) and equals 4. Thanks 4 watching!
f(x)=5x-7 ... f(8)... does that mean, X=8 and Y=33? I feel super dumb asking but I missed my math lecture and am trying to learn from home using RUclips... I also don't know how to state domain and range of functions...
+Jewelina Acosta That's correct Jewelina! This should help you with domain: ruclips.net/video/yU3Yu9jIjbM/видео.html
you sir need to be a teacher
Thanks Aaro! I am a teacher! :-)
why is -2 squared = -4 instead of 4?
Our first problem has the opposite of two squared or negative two squared, not the square of negative two. In our first example, -2²; means -1 ● 2 ● 2 which equals -4. Squaring negative two is written as (-2)²; which means (-2)(-2) and equals 4. Thanks 4 watching!
In my country these are considered too simple and teachers never put exercises that simple.
+Mario Wolf (BulgarianMusic) Check our recommended channels list 4 other math channels that have more challenging examples. We focus on the concept and building mathematical foundations. If the concept is fully grasped, a student can apply it 2 more challenging problems. Our service 2 the community is 2 enlighten those in need of help at any level. Therefore, we show examples from the ground floor before including more difficult problems. Thanks 4 your input.
-2^2 is -2 x -2 which is +4. 3:06 minute
Our first problem has the opposite of two squared or negative two squared, not the square of negative two. In our first example, -2²; means -1 ● 2 ● 2 which equals -4. Squaring negative two is written as (-2)²; which means (-2)(-2) and equals 4. Thanks 4 watching!
Fort Bend Tutoring Fort Bend Tutoring you subistitute
2x +3 you pluged in
-x^2 +5x-3
-2^2 +5(2)-3
4 + 10-3 = 11 that's the correct answer.
Thanks 4 sharing!