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marasofia1616

  • 2 years ago

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

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  1. Ahaanomegas
    • 2 years ago
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    Do you know the domain and rain for cot?

  2. marasofia1616
    • 2 years ago
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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

  3. Tonks
    • 2 years ago
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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, ...

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

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

  6. Ahaanomegas
    • 2 years ago
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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.

  7. Tonks
    • 2 years ago
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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...

  8. Ahaanomegas
    • 2 years ago
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    Yep. Exactly what I said. ;)

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

  10. Ahaanomegas
    • 2 years ago
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    Take the domain of the basic function and think of it geometrically.

  11. Tonks
    • 2 years ago
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    |dw:1350961916817:dw| Here is -cotx

  12. Tonks
    • 2 years ago
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    |dw:1350962021979:dw|

  13. Tonks
    • 2 years ago
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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

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

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