How to determine the intervals that a function is increasing decreasing or constant
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- čas přidán 1. 09. 2015
- 👉 Learn how to determine increasing/decreasing intervals. There are many ways in which we can determine whether a function is increasing or decreasing but we will focus on determining increasing/decreasing from the graph of the function. A function is increasing when the graph of the function rises from left to right and is decreasing when the graph of the function falls from left to right. A function is constant when the graph of the function neither rises or falls from left to right. i.e. the graph of a constant function is a horizontal line.
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Dang, everybody talking about pre-cal, this is helping me with Algebra ll
he is including the end points, that is wrong
they are call inflection points
@@carlosamaya7109 IT shouldn't be closed interval, right?
This is helping with Algebra I....
wifwjirou F
Explained 10x easier than my professure. You're a lifesaver dude. Short, concise, and clear
my teacher in pre-calc never explained that it wasn't the domain and range in the parentheses! thanks for this!!! really helped.
you are very welcome!
@@brianmclogan why was the last decreasing one (3,infinety) positive wouldnt it be negative infinety?
Mango Red don't know if this is a joke or not, but no, it's always decreasing, even if it goes on forever
ik im late but its positive infinity because hes writing the x values. It would be negative infinity if he was talking about the Y values.@@mangored8809
I didn’t even know what an interval was 🗿
Most students don't know what an interval is but it's really just a slice of the graph. Just like bread is cut into slices, graphs are cut into intervals--the slices are like intervals. We could slice the bread horizontally but we don't. We slice bread vertically. Similarly, we could slice functions horizontally but we've chosen to cut them vertically. We use the x-values to tell us the thickness of each slice.
Can I fire my math teacher for this dude
Get more on Increasing and Decreasing functions:
*From Graphs( czcams.com/video/9G9EManhGbw/video.html )
*Calculus Method ( czcams.com/video/XSKozWXwqXc/video.html )
same. I tried to politely tell my math teacher that he needs to explain the material before assigning work, and he got so pissed off at me that he spent 2 weeks being passive aggressive with me over everything. Its like, dude, you have no teaching skills. You cant just throw shit at a wall and hope it sticks. I am in a college course and Ive literally been paying to teach myself. It absolutely sucks
When you start paying his salary yes
My current college algebra teacher hasnt taught anything. Hes just thrown assignments at us and covered about 10% of the material AFTER throwing the assignments at us. Its been a complete nightmare. I've literally had to teach myself everything. This is so ridiculously simple, but without someone explaining it the way you did, it sounds way more complicated and overwhelming/terrifying. Thank you for making this so clear and concise. You are doing the world a favor providing these videos. Just wish other teachers cared as much about actually teaching material as you do
Dude I know this was from a while ago but just to let you know you're still helping people out so much!! My pre calc teacher goes lightning fast so I miss a lot of what he's saying so if it wasn't for you I wouldn't know what the hell he was talking about 😂😂
Man waking up and deciding to help students, gj my g.
Wait guys when it’s intervals DO NOT USE BRACKETS. Use PARENTHESES
THANK YOU LOL
I agree! A point cannot be both increasing and decreasing. Where the graph turns and goes in a different direction is neither increasing nor decreasing so should not be included in either interval!
No joke you actually just saved me in an online test istg
@@timothydalton6455 fun fact I leaned this the hard way when I got a 98 cuz I put brackets ☠️☠️
@@aryanshah4703 but guess what you'll never forget that lesson.
I wish this guy was my professor lol he explained this perfectly in 2 minutes!
Get more on Increasing and Decreasing functions:
*From Graphs( czcams.com/video/9G9EManhGbw/video.html )
*Calculus Method ( czcams.com/video/XSKozWXwqXc/video.html )
This man explained something my calculus professor said for 10 minutes in 2 minutes. Lifesaver!!
These types of videos are what's helping me through my calc class
You are the best!
Thanks a lot for everything.
Thanks really helped for me!!
brian comin out with yet another banger of a video
Even after 8 years you are still helping students thank you very much
always thought i was bad at math but then Mr. McLogan came out wit this
baller shi Mr.McLogan
I'm a 12 grade passout student from India 🇮🇳 watching this video just to refresh my knowledge and I really loved it ❤ 😊
i undertsood this so much easier thank you!! definitely gained a sub!
You’re the man thank you!
THANK U SO MUCH
Thank you so much!
OH MY GOSH. Thank you!!!!!
1:12: "It's like the start of time" 😂 lmaooo damn you were serious about the "telling a story" part haha
No fair I’m a Freshman and we’re starting to learn this
same.
Tbh guys, the sooner the better
I’m in 7th
I’m in 8th grade advanced
Thankyou so much sir!!
Thank you.
Thank you so much 😭
7 years later u just helped my brain remember so much I need for my test tmr
so helpful
Notice how his class is very quiet. I wonder if he has a major penalty for disrupting one of his video lectures.
Dang my u are better than my teacher!!!!!
Sir. you just saved my life
Dude I’m literally bouta pass my honors alg 2 final bc of your videos
you just saved my life
ty man ily
THANK YOU SO SO SO MUCH OMG
You are very welcome!!
So this is how we responde (intevals(domain)where the function is) or it haves another way to responde it ??
The best math guru, I have ever known
Hello! Just a question, at the the point (-4, 5) wouldn't the graph be constant so shouldn't the increasing interval be (-inifnity, -4) (with no square bracket)?
Of course...he needs to revisit slope =0
@@craiglevig4821 No, you're wrong. Since -4,-5 is a Critical Value, which is when dy/dx = 0, then if the point exists on the f function, and it does, then it IS included in brackets.
This is great for understanding. But if anyone knows the answer, I would love an explanation for why you don’t write down the y value.
Might be late but from what I can gather. In my work it's asking for the intervals that y [or of f(x)] is increasing decreasing or constant. So it's asking from what x value to what x value is the function f (or y) changing. Or something along those lines I think
is there a way to do this when the graph is not accessible?
thx
My boy made me ace my math test. Thx bro
Why do we add the square bracket to indicate its on the graph when at those points, the graph is niether increasing or decreasing?
hey I just have one question, instead of putting something like [ -1,3], can I use -1
Yes that would be correct, he just did it in interval notation
THE GOAT
Literally wathing this 5 min before the exam😂😂
Oh God, what am I doing with my life
W teacher
Bruh this helps so much
Happy to hekp
You don't use brackets for x-values in the middle of the graph. At those points, the graph is changing - neither increasing nor decreasing.
The only time you use brackets for intervals of increasing, decreasing, or constant is when you have a closed point at the end of the graph.
Otherwise, it's a good explanation.
lol thank you im taking a practice test rn and i thought this was what we do but this dude almost had me fooled
No, you do use it. For dy/dx you get the values of increasing and decreasing, and the Critical Values are always in brackets if they exist on the F function. So you're wrong.
@@kevinwu556 In this case he is right.
What school you teach at?
Why you have use close bracket instead of open. How a function can be increasing and at same point decreasing
1:38 INCREASINGGG
why is the last infinity positive when the first one was negative and they are both pointing the same way
The symbols are wrong though but you explained a little better
thanks, please clarify so others are not confused
For the first interval negative infinity through -4, the graph is not increasing or decreasing at -4, this would require parentheses instead of a square bracket. This would also apply to the remainder of the intervals.
Mr. McLogan.....when function at min or max....that point has slope =0 so is NOT INC OR DEC...( ) NOT [ ]....craig.
I need to know how to test intervals and my teacher doesn’t let us use calculators yet has us multipling 7x6,750
lol how did I get into pre calc idk anything
If only my college professor explained it this way. Bruh
My high school teachers never taught me this and now I’m in college struggling to learn high school math lol
why is (minus infinity, -4] and inc int. if the graoh is going down
Read from left to right
I swear sometimes my teacher does the same thing I don’t get it then I go on CZcams and I am Einstein
I am going to give you this H for helpful, L for a like, and S for subscribing. Everyone go subscribe!! He deserves it!
This teacher looks like Phillip Anselmo from Pantera
When you're doing this for algebra 1-
RIGHT
I have a unit test tommorow and dont know what an interval is 💀
But how do you do this when you dont have the points?
Hard to give intervals if you don’t have points. You mean like from an equations? Use the derivative and test points.
Can you teach my math teacher to teach?
This boi said to read a book nah my test is tomorrow and I need to learn this now
Fam I feel you 😂
Everyone is like in college, I'm in the 7th grade...
I didn’t understand why he put [ -1, 5] shouldn’t be instead of 5 3
Isn’t it increasing from 3 to infinity
3 is y
so no it uses x
Jesus loves you guys ❤
Bruh my teacher is making me Learn this he is not teaching it to us and I’m in algebra 1
yoo 666 likes but i got yall im make if 667
Can't lie if it wasn't for your video id fail
Who is here in 2020 just me k
Idk if parenthesis or brackets are important here lol
I think he did it wrong, intervals of increasing / decreasing should always be open intervals because the endpoints of each interval are critical points, so they are neither increasing nor decreasing.
Where the hell do you mention constant functions?
Get more on Increasing and Decreasing functions:
*From Graphs( czcams.com/video/9G9EManhGbw/video.html )
*Calculus Method ( czcams.com/video/XSKozWXwqXc/video.html )
Oops I meant me not for me😂
IF I GET ONE MOR PUG IT ADD I WILL SUE PUG IT
Jesus Christ loves you 🥺