Functions and Graphs | Precalculus
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- čas přidán 8. 09. 2024
- This precalculus provides a basic introduction into functions and graphs. It contains plenty of examples and multiple choice practice problems.
Full 51 Minute Video: • Functions and Graphs -...
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I like it when teachers explain stuff before hand and don't expect the students to remember everything. I find it quite annoying when teachers are like "oh yeah you guys should remember these concepts from LAST year." Its like sure, maybe a couple might remember but it doesn't hurt going over how the process works first. Teachers too often skim over certain subject matters thinking that "we already know." Its a stupid method of teaching and I really appreciate these videos existing that are quick and easy to follow. Straight to the point and very thorough.
these videos make the same assumptions
@@dropsofmexico9330It is in Pre-calculus, so teachers should expect the viewers to understand Algebra 1 and 2 if they're interested in this.
i really cant handle it anymore! your voice is so soothing and relaxing man
Ikrrrr, and he makes the work so much easier
@Myles Connor I went on the site and realized that I still have to pay. Should have expected that but they have some good movies in there from what I just saw
MR. Organic Chemistry Tutor, thank you for a well-organized lecture/video on Functions and Graphs. The examples are easy to follow from beginning to end.
learned more in 10 minutes than in a whole week at college algebra youre a G
For #10 the range starts up again at -1 not 1
thanks mate
Yeah that's so true!
You're right. Thanks for that
Exactement
True
10:58 It should be -1 right?
one if the best in youtube so far.. well done sir👏🏼👏🏼
It is Actually -1 in Question 10
14:40 if you pause it immediately here, you get a bonus question that would otherwise go into the paid version of the video. Has anyone tried it?
Solve for h(x)
I took g(x) and plugged it into the x value of f(x). If f(x) is x^2 + 5x, and added g(x), I get:
(7x + 3)^2 + 5(7x + 3)
After foiling the first part, and distributing the 5 in the second part, I get:
49x^2 + 42x + 9 + 35x + 15
Combining like terms, I get:
49x^2 + 77x + 24
If he were to ask how to decompose this, I would have no idea.
If you are wondering how to solve question 2
Here you go:
To determine possible values of x for which f(x) equals a given value, you need to substitute the value of f(x) into the function equation and solve for x. In this case, we are given that f(x) = 10, and we need to find potential values of x.
The function is given by f(x) = 2 | x - 5 | - 8. We can set this equation equal to 10:
2 | x - 5 | - 8 = 10
Next, we isolate the absolute value term by moving the constant terms to the other side:
2 | x - 5 | = 10 + 8
2 | x - 5 | = 18
Now, we can consider two cases: one where x - 5 is positive and another where it is negative.
Case 1: x - 5 is positive (x - 5 ≥ 0)
When x - 5 ≥ 0, the absolute value term simplifies to x - 5:
2 (x - 5) = 18
2x - 10 = 18
2x = 18 + 10
2x = 28
x = 14
So, x = 14 is a potential value.
Case 2: x - 5 is negative (x - 5 < 0)
When x - 5 < 0, the absolute value term becomes -(x - 5) or -x + 5:
2 (-x + 5) = 18
-2x + 10 = 18
-2x = 18 - 10
-2x = 8
x = -4
Therefore, x = -4 is another potential value.
In summary, the possible values of x for which f(x) = 10 are x = 14 and x = -4.
This guy is my teacher my teacher doesn’t teach us he legit read off a text book rather having him shows us how
Thank you so much you saved my life. I have a calculus exam tomorrow and I understand everything. Wish me luck tomorrow on the exam.
hope you did good bro! :)
@@blinky_likes_bennies I passed with a grade of 96%
THANK YOU SIR,YOUR VIDEOS HAS INSPIRED ME TO START MY MATHS AND SCIENCE CHANNEL. THANKS
@Marcano Matthias NICE
We indians are everywhere
@@banny9464 GOOOD
Of course you post this the day I have my test lol
Lol but i mean, better for you right
i want an update on wether u passed that test or not
@@KeburuSUCKS I did, but I had like no time to watch it so I didn't get the mark I wanted lol
Wait. How did you get number two if the question says f(x) =10 and you got 10= 2/x -5/-8
@Question 10, i think you meant the range should be (-5,-3)U(-1,INF)
Thanks sir ,this is know easy for me
.
Did u find the derivative?
You just saved me😢🎉
Thank u
This video better than school
YEAH RIGHT
Yes indeed....We can all graduate after watching his videos at this point lol
Made it so easy👏🏼
yessir
ohhhh so im not stupid, my teacher just doesnt do their job 🤠🤠
Good and informative video.
The best 🤝
Thank you so much I love you
Very good
11:02 isn't the function supposed to begin at y=-1 rather than 1?🤔
Yes it is!
Thank you so much!
thnak you for helping me 😘
I love it Thank you sir keep it up ❤️
why on question 2 do you add 8
It's like studying the power of (Gojo Saturo) infinite void.
#11- The first terms you foil & drop the square root. Does the square root cancel because those terms are identical?
yes
i would kill to watch the rest of the video
So f (x)=y ? I’m a little confused with number 5. Number 4 had f (x) at -1 and y at 2.
3:25 he explains in example 4 that the number in f(x) represent the x value. So f(-1) means x = -1.
Then he reminds you that the entire function, which is f(x), is equal to y.
If, in #4, x = -1, then the function f(-1) will equal y, which you have to figure out by looking at the graph (and the answer is 2).
But in question #5, he's saying f(x) = 3. He's NOT saying f(3).
So if f(x) = 3, and f(x) = y, then y = 3.
(With functions:
X is the input
Y is the ouput)
Number 4 you're solving for y. Number 5 you're solving for x.
I didn't get question 11well please reexplain
Upcat Cutiie!!
I FUCKING LOVE YOU HOMIE
Thanks. What software and tablet do you use
he has it in his amazon list linked in his website! you might have to go into the other videos to see his link.
Great . Thanks . Simple
My teacher literally just copied all these questions for our homework, what the hell
im in 8th grade and this is my first test. BRO IMMA FAIL DAWG
Womp womp
STEMMM PA HAHAHAHAHAHAHAHAHAHAHAH
Filipino ka lods?
I know 🙋🙋
Second
WOW
@@mathsandsciencechannel good channel
I'm kind of early