anonymous
  • anonymous
please help :) For the polynomial, f(x)=1-2x+5x^4 as x---> infinity, f(x) ---> -infinity true or false?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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jtvatsim
  • jtvatsim
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. :)
jtvatsim
  • jtvatsim
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)?
anonymous
  • anonymous
I think it's false?

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jtvatsim
  • jtvatsim
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!
anonymous
  • anonymous
thanks for your help!! :)
jtvatsim
  • jtvatsim
Your welcome!

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