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marasofia1616

f(x) = - 2 cot 3x please someone help me find the domain and range of this functions

  • one year ago
  • one year ago

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  1. Ahaanomegas
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    Do you know the domain and rain for cot?

    • one year ago
  2. marasofia1616
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    that its undefined because its domain in standard form is all real #s except pi? I am not sure, I am guessing

    • one year ago
  3. Tonks
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    Right, the domain of cot(x) is all reals except for integer multiples of pi. So not at 0, pi, 2pi, ...

    • one year ago
  4. Tonks
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    So if this is cot(3x), then 3x cannot equal n*pi. Now solve for x

    • one year ago
  5. marasofia1616
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    do I solve for x by setting 3x = 0?

    • one year ago
  6. Ahaanomegas
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    No. What @Tonks means is "solve of x in terms of n and pi", I believe. He's stating an easy statement in a very formal manner.

    • one year ago
  7. Tonks
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    No, I mean in a statement like 3x = n*pi, isolate x on one side and everything else on the other by dividing by 3...

    • one year ago
  8. Ahaanomegas
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    Yep. Exactly what I said. ;)

    • one year ago
  9. marasofia1616
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    Ok, but how do I get the domain or range from that?

    • one year ago
  10. Ahaanomegas
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    Take the domain of the basic function and think of it geometrically.

    • one year ago
  11. Tonks
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    |dw:1350961916817:dw| Here is -cotx

    • one year ago
  12. Tonks
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    |dw:1350962021979:dw|

    • one year ago
  13. Tonks
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    Now if you are familiar with transformations, then you know a multiple of x compresses the graph along the x-axis

    • one year ago
  14. Tonks
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    That compression will move the asymptotes, like an accordion, toward the origin.

    • one year ago
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