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- Thread starter FlO-rida
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- #26

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- #27

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That's right. You can make y as close to 0 as you like, but it never quite gets there. You can also make y as negative as you like.

So that means that for [itex]x < -1[/itex], the range of possible y values is [itex]y < 0[/itex].

Other ways of expressing the same thing are

[tex]\{y | y < 0\}[/tex]

or

[tex](-\infty,0)[/tex]

Now let's consider the other half of the domain: [itex]x > -1[/itex]. What range of y values are possible here?

- #28

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positve infinity or y > 0

- #29

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positve infinity or y > 0

OK, so if [itex]x > 1[/itex] then the possible range of y values is [itex]y > 0[/itex].

Now put the two halves together to get the total range of the function.

- #30

HallsofIvy

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In interval notation that would be [itex](-\infty, -1)\cup (-1, \infty)[/itex].

The "range" is the set of possible y values.

One way of finding the

For this simple function, you could also have thought, since a/b= 0 gives immediately a= 0 by multiplying both sides by b, "a fraction is 0 if and only if its numerator is 0". Here the numerator is the constant 1 which is never 0. y can never be 0.

- #31

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Thanks for the help, and just to be sure, the range is always expressed as y [tex]\neq[/tex] ....

- #32

Char. Limit

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No, only sometimes, like here.

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