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Exponential Functions!, please help

  1. Oct 27, 2007 #1
    hey i have some hmwk and need help with a few questions. I would appreciate it if i could get some explanations :)

    1i) state the domain, range and the equations of the asymptotes.

    a) y= 1 / x+3

    b) y= (-2 / x-3) + 2
  2. jcsd
  3. Oct 27, 2007 #2


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    You are not writing those properly. That is aside from their not being exponential functions. What you wrote can be exactly represented as:
    [tex] \[
    y = \frac{1}{x} + 3 \\
    {\rm AND} \\
    y = \,\; - \frac{2}{{x - 3}} + 2 \\
  4. Oct 27, 2007 #3
    yea sorry i didnt know how to write it like that, the second one is right, but for the first one the "+3" is with the denominator.
  5. Oct 27, 2007 #4
    i think i got the first one :S. is it that i draw the basic function of 1/x, then move that 3 units to the left?
  6. Oct 27, 2007 #5


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    That is correct.
  7. Oct 27, 2007 #6


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    Which is [tex]y=\frac{1}{x}[/tex] under a translation of [tex]\begin{bmatrix} 3 \\ 0 \end{bmatrix}[/tex]
  8. Oct 27, 2007 #7


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    First, as the very first thread says, this is NOT the place to post homework! I am moving this to the precalculus- homework forum.

    Second, you MUST post some of your own work so we will know what kind of help you need. Writing out the definition of "domain", "range", and "asymptote" might be a good place to start.

    Third, if you can't use LaTex, you can certainly use parentheses!

    Most people would interpret 1/x+ 3 as (1/x)+ 3. You mean 1/(x+3).

    Similarly, most people would interpret (-2 / x-3) + 2 as ((-2/x)- 3)+ 2.
    You mean -2/(x-3)+ 2.
    Last edited: Oct 27, 2007
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