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Mathematics 21 Online
OpenStudy (anikate):

Can someone plz help me by explaining domain and range? Plz give me an example.

OpenStudy (anikate):

hello?

OpenStudy (akshay_budhkar):

domain is the values of x that in a function in terms of y can take

OpenStudy (akshay_budhkar):

hello~

OpenStudy (anikate):

yes I'm listening

OpenStudy (akshay_budhkar):

range is the value of y, or the values that the function can take

OpenStudy (akshay_budhkar):

lets take a simple example to begin with

OpenStudy (akshay_budhkar):

y=x+1

OpenStudy (akshay_budhkar):

now we can see x can take all values from -∞ to ∞ so that is the domain

OpenStudy (akshay_budhkar):

similaryl as x ranges throughout the number line the value of y takes all values from -∞ tp ∞ so thats the range

OpenStudy (anikate):

ok I sorta get it now

OpenStudy (akshay_budhkar):

now lets go a bit deep, take a tougher function say \[(x+1)/x-2\]

OpenStudy (akshay_budhkar):

now we can see that x-2 in the denominator cannot be zero as the function is undefined

OpenStudy (anikate):

Could u plz explain where the question is in a word problem?

OpenStudy (akshay_budhkar):

which word problem?

OpenStudy (akshay_budhkar):

i just took a function and we are finding its domain and range

OpenStudy (anikate):

any word problem that you make up.

OpenStudy (akshay_budhkar):

it is a random question

OpenStudy (anikate):

here I got one

OpenStudy (anikate):

You are packing books into boxes. The function y=20x represents the number y of books that will fit into x boxes. a.)Is 4 in the domain?explain b.)Is 60 in the range?explain

OpenStudy (akshay_budhkar):

yes for both

OpenStudy (anikate):

This is a 2 part question please help me with it

OpenStudy (anikate):

Can u plz explain why it's yes.I got yes too before

OpenStudy (akshay_budhkar):

ok we can see that the function can take the value x=4 right? there is no reason why it cant as the function is defined at that number so it is there in the domain

OpenStudy (anikate):

well yeah in real life

OpenStudy (anikate):

You can definitely have 4 boxes

OpenStudy (akshay_budhkar):

yes you can actually relate it to real life

OpenStudy (akshay_budhkar):

you cannot have infinite boxes

OpenStudy (anikate):

Yeah I'm supposed

OpenStudy (anikate):

That's what I'm suppose to write as the answer in my question

OpenStudy (anikate):

hello?

OpenStudy (anikate):

~~~~~~~~~~~~~~~~~~

OpenStudy (akshay_budhkar):

sorry!!

OpenStudy (akshay_budhkar):

lol i slept :P

OpenStudy (anikate):

It's k

OpenStudy (anikate):

You slept?

OpenStudy (akshay_budhkar):

lol yea :P

OpenStudy (anikate):

lolz

OpenStudy (akshay_budhkar):

ok thats a perfect answer

OpenStudy (anikate):

ok now the second part

OpenStudy (akshay_budhkar):

for range 60 can be 1 as we can have 3 boxes in real life right?

OpenStudy (anikate):

yes

OpenStudy (anikate):

wait what?

OpenStudy (anikate):

I got Yes, because 60 books can go into 3 boxes , so Is it correct.

OpenStudy (akshay_budhkar):

yes

OpenStudy (anikate):

20 books can go into 1 box

OpenStudy (anikate):

k good

OpenStudy (akshay_budhkar):

so u get what u want? Anikate u sound indian :D

OpenStudy (anikate):

and u sound Indian too. Akshay Kumar lolz. JK

OpenStudy (anikate):

Well I gtg cya. Wait can we have friends on openstudy?

OpenStudy (anikate):

Like a friendslist?

OpenStudy (akshay_budhkar):

lol thats how ppl remember me.. i am indian but not in india now, no we cant be friends on os but you can be my fan lol

OpenStudy (anikate):

OK cool I am USA

OpenStudy (anikate):

Well I gtg so cya

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