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Mathematics 16 Online
OpenStudy (anonymous):

how to find domain and range of y=1/x

OpenStudy (anonymous):

First look for what value of x, y is undefined

OpenStudy (anonymous):

so would it be negative infinity?

OpenStudy (anonymous):

Nope, what happens when x=0

OpenStudy (anonymous):

?

OpenStudy (anonymous):

what do think is 1/0

OpenStudy (anonymous):

zero

OpenStudy (anonymous):

[1\div 0 = undefined\]

OpenStudy (anonymous):

Nope, 1/0 is undefined

OpenStudy (anonymous):

So, x cannot be 0

OpenStudy (anonymous):

got it?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

if it is zero then both the range and domain would be negative infintity or infinity?

OpenStudy (anonymous):

Do u understand why 1/0 is undefined

OpenStudy (anonymous):

because zero does not go into anything?

OpenStudy (anonymous):

So, x cannot be 0 as y is undefined when x=0

OpenStudy (anonymous):

Now, can u write domain

OpenStudy (anonymous):

i think i got it. can you help me with y=-2/x+1

OpenStudy (anonymous):

there when x=-1 then y is undefined so x cannot be -1

OpenStudy (anonymous):

-2 to infinity?

OpenStudy (anonymous):

Here: For y=1/x |dw:1346166083921:dw|

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