Luckily math doesn't really change much over time so I'm hoping to help you and many other students for a very long time! 😄 And thank you for the kinds words, I'm always happy to help! 👍
Hi! Thank you so much for the video, it was super helpful. I have a few questions. If I'm given 2 function f(x) and g(x), do I draw both of them in one graph or separately? and how do I solve for all the values of x such that f (x) = g(x) as well as f(x) ≥ g(x)?
Hi there! Do you mind sharing what your problem is? If you have 2 functions (from the same problem) then you'll probably have to graph them both on one graph. Also, the spot where they intersect should be where f(x) = g(x). Lastly, where f(x) ≥ g(x) depends on how the functions are graphed, so again, it would be helpful to know the exact problem, but I hope this all at least gives you a starting point 👍
@@Eat_Pi thank you so much for responding! It gives a bit more clarity and here are the functions I was trying to solve. f(x) = |x + 3| and g(x) = |2x − 1|.
@@AngelEnakpoke Thanks for the functions! So this might be easiest if you just graph the 2 functions and then look at a couple things: First, in order to see where f(x) = g(x), you just want to see where the 2 functions intersect. If you graph them, you'll see they intersect at (-2/3, 7/3) and (4,7). So we can say they intersect at x=-2/3 and x=4 Second, the easiest way to see where f(x) ≥ g(x) would again be by graphing. In this case you want see where the y-values of f(x) are higher than g(x). This happens on the graph between x=-2/3 and x=4. Another way we can say this is x ≥ -2/3 and x ≤ 4 (so we're saying x is bigger than -2/3 but smaller 4). We could also write it as a compound inequality: -2/3 ≤ x ≤ 4 There's definitely several different ways you can solve these problems but I think graphing would be the easiest in this case. Hope that helps!
@@chin4059 Oh I see, well there's a LOT I would have to write here so I think it'd be easier to just link a video to all that: ruclips.net/video/3NOyTUIFI0s/видео.htmlsi=3bAMP-yG1vqeuu45 Hope that helps and let me know if you still have any questions 👍
That's a great question! I figured it'd be easier to make a video to answer your question, so here's a link: ruclips.net/video/TmYIKRLiNo4/видео.html Let me know if you still have any questions 👍
I was about to cry doing this but then I saw ur vid and it saved me tysm
Now you can cry tears of joy ❤️
this guy deserves award of the year no matematician will teach u this kinda method thanks bro ⚡⚡⚡⚡⚡⚡⚡⚡
lmao I appreciate that! I'm glad you found it helpful 😄
Watching this the morning before my quiz, I appreciate it
I hope you crushed that quiz like a friggin genius 😎
This was the only video that made me understand this topic, thank you so much
You're welcome, I'm so happy to hear that! Now go crush those absolute value function problems like a friggin genius 😎
save my life man! i have a quiz later today and the way my teacher explained it was much much more complicated, so thank you so much!
You're very welcome, hope you ACED that quiz like a friggin genius! 😎
@@Eat_Pi thank you! i finally got my results back and i absolutely aced the quiz! thank you sososoosos much!!!!
@@ishimoyo THATS SO GREAT TO HEAR IM SO PROUD OF YOU!! 😃
Great video Thank you for explaining what the different parts of the function represent!👍
You're very welcome, I'm glad it made sense :D
thank you unc i got a quiz on ts tmrw
Happy to help good luck on your quiz, hope you Ace ts like a friggin genius 😎
@@Eat_Pi😂😂😂
You pass?
released a year ago and still helping students like me!!! Thank you so much for helping me understand sir, I wish you the best of luck in life!!!
Luckily math doesn't really change much over time so I'm hoping to help you and many other students for a very long time! 😄
And thank you for the kinds words, I'm always happy to help! 👍
thank you unc 🙏. You helped me finish my goofy ah homework
@@reddbugestupido5992 I hate goofy ah homework, glad I could help 🙏
thank you so much 🙏 i had an exam and you saved me
You're welcome! All I want to do is save your math lives 🙏 lol
Awesome presentation ❤️❤️❤️❤️❤️
Glad you enjoyed it! 🧡🧡🧡🧡🧡
You're a life saver!!!
@@monsecruz5032 I believe in saving all of God's precious creatures, including you friggin geniuses 😎🙏
Amazing video. Thank you so much your a life saver 🔥🔥🔥♥♥♥
I care about saving all of god's creatures, especially you friggin geniuses 😎🙏
I swear Your the best ❤❤😊
Hi! Thank you so much for the video, it was super helpful. I have a few questions. If I'm given 2 function f(x) and g(x), do I draw both of them in one graph or separately? and how do I solve for all the values of x such that f (x) = g(x) as well as f(x) ≥ g(x)?
Hi there! Do you mind sharing what your problem is? If you have 2 functions (from the same problem) then you'll probably have to graph them both on one graph. Also, the spot where they intersect should be where f(x) = g(x).
Lastly, where f(x) ≥ g(x) depends on how the functions are graphed, so again, it would be helpful to know the exact problem, but I hope this all at least gives you a starting point 👍
@@Eat_Pi thank you so much for responding! It gives a bit more clarity and here are the functions I was trying to solve. f(x) = |x + 3| and g(x) = |2x − 1|.
@@AngelEnakpoke Thanks for the functions! So this might be easiest if you just graph the 2 functions and then look at a couple things:
First, in order to see where f(x) = g(x), you just want to see where the 2 functions intersect. If you graph them, you'll see they intersect at (-2/3, 7/3) and (4,7). So we can say they intersect at x=-2/3 and x=4
Second, the easiest way to see where f(x) ≥ g(x) would again be by graphing. In this case you want see where the y-values of f(x) are higher than g(x). This happens on the graph between x=-2/3 and x=4. Another way we can say this is x ≥ -2/3 and x ≤ 4 (so we're saying x is bigger than -2/3 but smaller 4). We could also write it as a compound inequality: -2/3 ≤ x ≤ 4
There's definitely several different ways you can solve these problems but I think graphing would be the easiest in this case. Hope that helps!
Bro this shi save me so much ily gng i wish my teacher could explain this as simply🙏
How do you know if it’s reflection over X axis and all that like horizontally and vertically
Great question! The "a" number tells you if it opens up or down:
if a = positive, then it opens up "V"
if a = negative, then it open down "Λ"
@@Eat_Pi I had a quiz today on it and I didn’t see ur comment u til after I think I didn’t do too bad thanks for ur help unc
@@Eat_Pi also I meant If it was vertical stretch or compression vice versa for horizontal too
@@chin4059 Oh I see, well there's a LOT I would have to write here so I think it'd be easier to just link a video to all that: ruclips.net/video/3NOyTUIFI0s/видео.htmlsi=3bAMP-yG1vqeuu45
Hope that helps and let me know if you still have any questions 👍
@@Eat_Pi thanks
Great vid, thanks for the help
You're welcome, I'm glad it was helpful! 🙏
W helped a lot thanks my guy could you make one on how to write a equation for it
What if we have like |x|+1 With root over the entire function
That's a great question! I figured it'd be easier to make a video to answer your question, so here's a link: ruclips.net/video/TmYIKRLiNo4/видео.html
Let me know if you still have any questions 👍
Oh yeah this helped thanks unc!
Always happy to help yall out 🙏
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You are verrrrrrryyyyyyyy weeeelllllccccccoooommmmeeeeeeee 😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎😎
Omg❤❤❤❤ i just found diamond 💎💎❤
I'm glad you think so! Always happy to help 💪
Aye u need to come take my pre cal teachers job😭
I appreciate the offer but my a$$ is staying put 😎