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Mathematics 8 Online
OpenStudy (anonymous):

Identify the excluded value of the function: f(x) = 5/x

OpenStudy (zzr0ck3r):

what can we not divide by?

OpenStudy (rajee_sam):

The value for which the function is undefined

OpenStudy (zzr0ck3r):

um that would be infinity

OpenStudy (zzr0ck3r):

and 0 I guess

OpenStudy (rajee_sam):

what?

OpenStudy (zzr0ck3r):

5/x = 0 has no solution

OpenStudy (rajee_sam):

Since x is in the denominator the value for which the function is undefined is only x = 0 . x = infinity will turn the value of the function to 0

OpenStudy (zzr0ck3r):

value is in range not domain

OpenStudy (rajee_sam):

value of x, I mean

OpenStudy (zzr0ck3r):

that's not what it asks when we say we mean "y"

OpenStudy (zzr0ck3r):

when we say value we mean "y".

OpenStudy (zzr0ck3r):

but 5/x = 0 = y has no solution

OpenStudy (zzr0ck3r):

i.e its range is all real numbers without 0

OpenStudy (rajee_sam):

as x---> infinity the value of y will be zero

OpenStudy (zzr0ck3r):

it never obtains 0.

OpenStudy (zzr0ck3r):

it asks for a value that is not in the range, 0 is such a value. it asks nothing of limits.

OpenStudy (zzr0ck3r):

look at the graph:)

OpenStudy (zzr0ck3r):

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