Domain and Range of a Function using a Graph

Well, done!

You made this complicated work looks so easy ...
Well done

Wow! This is the most useful kind of information I could have as a student. Great job keeping it simple and explaining it well.

its all about touching

this didnt help im so confused

Thank you so much (-'8

Thank you!

This is perfectly described. Thank you for taking the time to make this video!

I love you

wow!....thank you so much.....it helped a lot...you are too good...

Your range is wrong it should be -5, infinity

😒 u are weird

brilliant

i love you

Patrick how do you find range of function that has two square roots e.g f(x)= square root of (3-x) + square root of (x+1) ???

The pen trick helped so much, thank you!!

You're such a great teacher! Thanks so much!!!!

Can I have a question sir? Is it okay no matter what arrangements you have between the domain you know like example instead of [8,infinity) can it also be written [infinity,8) or not? I'm sorry I'm a dumn

thumbs up graph

Finally i understand abt this topic 😭😭😭😭 thanks a lot

Thank you this helped a lot

Thank God this helps so much.I understand it now. My teacher makes things much more complicated, talking about a bunch of scenarios and long math terms and stuff but this is a lifesaver for me and my test soon

Isnt it [8, -infinity)

Why does he sound like Tim from Brainpop...

Thank you for this!!

what's with the parenthesis and brackets? pls tell me.

is the last graph a union?

Thank you so much you really helped me with the domain and range👍😍

WTF...you sound like a slow version of a teacher on Charlie Brown. Seriously.

ILY ❤️ for this video man

767,767 views. Perfectly balanced, as all things should be

OMG thank you for the "not touching" trick. I was so stumped over this until now. thanks.

Thank you SO much.

Is this the same with a straight line

Thank you so much man this helped out a bunch

Thank you so much

IDK how I found you but you are saving my life right now!!

really very helpful🥰sir

whats the domain of the last graph?

man this is old tho

Thank you! You saved me!

he's not even indian

thxxxxxx

I'm more confused now than when i began

An open(or closed) circle then apply to both domain and range at that point? If so, if a function so defined that x can be between (5,10) has y value say 1 all over (constant function), I cannot simply use the open circle at either end ?? Would work for domain, but not for range!

Here u see the RHS side of x axis as from here only the upward arrow begins so u include the zero in domainl

Here we have written 4 as its the first place we hit the graph