Can someone plz help me by explaining domain and range? Plz give me an example.
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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
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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
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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
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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
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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
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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?
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OpenStudy (anikate):
~~~~~~~~~~~~~~~~~~
OpenStudy (akshay_budhkar):
sorry!!
OpenStudy (akshay_budhkar):
lol i slept :P
OpenStudy (anikate):
It's k
OpenStudy (anikate):
You slept?
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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?
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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
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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?
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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