Domain and Range Functions & Graphs - Linear, Quadratic, Rational, Logarithmic & Square Root
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- Опубліковано 29 лип 2024
- This video tutorial provides a review on how to find the domain and range of a function using a graph and how to write or express it using interval notation.
Functions and Graphs Practice Test: • Functions and Graphs |...
Transformations of Functions:
• Transformations of Fun...
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How To Find The Range of a Function:
• How To Find The Range ...
Domain and Range - More Examples:
• Domain and Range Funct...
Domain and Range From a Graph:
• Domain and Range of a ...
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Domain and Range - Radical Functions:
• Domain of a Square Roo...
Domain of Logarithmic Functions:
• How To Find The Domain...
Domain and Range - Piecewise Functions:
• Graphing Piecewise Fun...
Domain and Range - Inverse Functions:
• How To Find The Domain...
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SAT Math Test Prep:
• Evaluating Functions a...
ACT Math Test Prep:
• ACT Math Test Prep
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at 35:35 shouldn't it be negative infinity to positive 4 as domain
0:00 Intro + general rules
12:57 Linear functions
15:04 Quadratic functions
21:17 Quadratic functions in vertex form
23:08 Cubic functions
25:00 Larger polynomials
26:25 Square root functions
37:21 Cubic root functions
39:00 Quadratics under the radical
44:05 Rational functions
47:50 Square root in denominator
51:42 Quadratics in numerator/denominator
1:00:40 Absolute value functions
1:02:30 Exponential functions
1:05:38 Logarithmic functions
1:11:38 Trigometric functions (sin + cos)
1:15:30 Trigometric functions (tan)
1:17:11 Conclusion
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why did u waste ure time doing this
SuperiorTitanx he didn’t waste his time, he used his time to help us and that isnt viewed as a waste of time as he probably enjoys helping people
im not saying khan academy is not good
but the way you explain it is so much easier to understand then him
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Thank you.
same here
it's more detailed. the Khan academy is kind of like a refresher or for those who have had one lesson already.
True, tho I use khan academy as a refreshment before exams or a lecture or after I’ve studied the topic since they teach as if you have an idea of what the topic is about which I really like and is less time consuming (videos aren’t too long)
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i was struggling with domain for so long and this guy literally explained in less than 2 seconds. Amazing
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35:42 - you should've written (-infinity , *+*4]
BTW very nice teaching
yo, that's right ! , i was about to type it when i found your comment
@@12framez60 I know, I rewinded several times, thinking OH NO?! am i not understanding something. Almost went into a i'm-bad-at- math esteem spiral
no the domain is correct. the graph is the one thats wrong. it all begins with the shifting, its shifted 4 units to the left so it begins at -4 not 4
yeh
@@ngazibini.n2559 So I'm not saying your wrong, I'm just confused, because we solved for x making it x less than or equal to 4. Meaning it could be 4 and less. And then I look back at the original equation and y is negative and so it x, so therefore how would it be in any other quadrant. Can you more in depth explain where you got -4 from please and thank you.
seriously you are my go to guy for supplementing the lectures I get from my professor. sometimes he only can explain it one way but you seem to have a knack for connecting with my learning style. Just FYI your videos helped me get an A in Algerbra 1 last semester. Thank you.
mistakes i noticed:
35:42 - you should've written (-infinity , *+*4]
42:00 D (-∞,-5⟧U⟦3,∞) are included for both -5 and 3
yes me to I find it mistake
-5 is not included because (x-3) substitute it gives you -8 but 3 is included.
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Though yeah paying close attention and taking notes on everything written is the way to go
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@@aaron9262It’s “it’s”, not “its”; that word doesn’t make sense here. And since you want to be such a smart-ass, you comma spliced. dumbass kid
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An excellent lesson on analysis of functions. This would be a great help to students in university algebra.
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I really appreciate it bro , Now I know how to get the Range. I always used to get confused.
Same here
At 56:55 you wrote (-4,-7) instead of (-4,7). I was confused at first but then I understood. But thank you so much for this video. It helped me a lot :)
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This clarifies so much thanks!
u are a fucking life saver bro, ur video was the perfect thing i needed to review all my domains and ranges. like literally u have no idea how grateful i am to you
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in the minute 35.31 the domain is (-infinity, +4]
i just noticed, right
yes I saw that
Yeah
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If you are searching for 15:50
Yes, he meant the "exponent", not the leading coefficient.
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Please make a video on how to find the range of a function your videos are very helpful for children who are going from 11th and 12th class
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Closed circle refers to 'equal to', an open circle refers to 'greater or lesser than'.
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Great teaching
56:54 is (-4,7)
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I know it is kinda late but in minute 41:50 isn't the domain suppose to be D[3,positive infinity) since the value of the equation is greater than or equal to zero so -5 is not included?
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May i ask why in 41:57 the -5 and 3 are not closed intervals? @the organic chemistry tutor
At 41:52 the D (-∞,-5⟧U⟦3,∞) are included for both -5 and 3?
Happy to see this. Scrolled to see if my answer is the same with others.
At 41:57 you should have put closed brackets around -5 and 3 as they can be included
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10:07 is there any chance that the highest y value is positive infinity??? cz we have an arrow here , I'm a little bit confused. please help .
The vertical asymptote for the last question would be R - {x:x=(2n+1)*π/2, n ε Z, x ε R}
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