# Domain And Range Of A Function Given A Formula | Algebra II | Khan Academy

Domain and Range of a Function Given a Formula

Practice this lesson yourself on KhanAcademy.org right now:

Watch the next lesson:

Missed the previous lesson?

Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We’ll again touch on systems of equations, inequalities, and functions…but we’ll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don’t let these big words intimidate you. We’re on this journey with you!

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We’ve also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

Subscribe to Khan Academy’s Algebra II channel:

## 29 thoughts

1. Iftekhar Khokhar says:

EXCELLENT LECTURE INDEED!!!

2. ASP! says:

why no sound?

3. blaigne ramos says:

thAnks to this…now I know…this is so easy.yet when our teachr discussed it..it seem to complicated ……BIG BIG THANKSTO THIS!!!!!!

4. axel rod says:

so are you bitch

5. MRJGoldie says:

Wtf when my teacher explained this I was like wtf how am I supposed to solve she made it so complicated, thx u 4 uploaded this video it was so helpful.i would rate this video ★★★★★if I was able to but I will like it.

6. Royal Rajput says:

you are the dumbest

7. Hey Rae says:

I have my math exam tomorrow
Its 25% of my grade and currently I have a 91 on a ten point grading scale

I think after my grades are updated I’ll have a 93, but hopefully I wont fail my exam

So thanks video

8. Riordan Moralde says:

Why did u start at -2 when determining the domain and range

9. xx d says:

we had this during grade 8 but I totally forgot all about it and because school just started we are reviewing past lessons. my teacher makes it really confusing and his grammar makes it a whole lot worse! thank you!! you’re a life saver

10. Kaede Aragaki says:

11. Kevin Lee says:

12. ShootinTheShit says:

13. David M says:

Khan academy is the best place to waste time and learn a million things that you never intended to learn and likely miss the details that you were looking for to pass exams in the first place.

14. Harshita Kanal says:

its actually +2 in the first case as
-2_(-1)= 2

16. Steve Philip says:

How did you get all real numbers for the domain? I always get confused on that.

17. Tapprincess45 says:

Thank yooou! i have an exam in 3 days and this really helped!

18. Joshua Isaiah Navarro says:

when obama can teach you math

19. Ronnel Parungao says:

Illuminati Confirmed!😁😁😡😱✡🔼

20. nora a. says:

I understand why the range is all real numbers, but why is it all real numbers greater than or equal to -5

21. Pepe Washington says:

I have so much respect for you wondering how you are able to retain so much information

22. josh lerio says:

For the range, is it always bound to the y axis? and domain in the x axis? Or am I just imagining false information that will mislead me?

23. Ham Sniping says:

this comment section is cancer

24. فهد بن عفيص الغامدي says:

you can write the range like [-5,+inf) and thank you

25. Induced Rhino438 says:

WHY THE FUCK IS THERE NOTHING ON THIS STUPID WEB THAT EXPLAINS FUNCTIONS WITH 2 VARIABLES. E.g. f(4) – e(.5) with f(x)=3x+1 & e(x)=2 over x. Anyone know? MY EXAM IS TOMORROW AND I WAS NEVER TAUGHT THAT YET ITS ON MY REVISION SHEET

26. Sunny Blaze says:

how can you tell if the parabola is upward or downward just by looking at the quadratic expression?

27. young mille says:

my teacher so dumb He makes me hate math rn.

28. Sumail Pakistan says:

very very helpful thankyou sir 😀

29. QRS3C273 says:

I cannot thank you enough for these videos. They are extremely helpful to me. I need all the help I can get 😀