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anonymous

  • one year ago

please help :) For the polynomial, f(x)=1-2x+5x^4 as x---> infinity, f(x) ---> -infinity true or false?

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  1. jtvatsim
    • one year ago
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    I would suggest plugging in a few values of x and testing it. Try x = 100, x = 1000, and x = 10,000. You should then be able to make a very good guess at the answer. :)

  2. jtvatsim
    • one year ago
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    Basically, we are making x go toward infinity and we want to see how the formula responds, does it seem to be getting bigger (and heading toward + infinity)? Or does it seem to be getting really big in a negative direction (and heading toward - infinity)?

  3. anonymous
    • one year ago
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    I think it's false?

  4. jtvatsim
    • one year ago
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    I would agree! The values just keep getting bigger, and Bigger, and BIGGER! And they always stay positive. Even though there is a -2x in our formula the 5x^4 is just too powerful and forces the function to stay positive. Nice work!

  5. anonymous
    • one year ago
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    thanks for your help!! :)

  6. jtvatsim
    • one year ago
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    Your welcome!

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