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The domain of the function f(x) = x^4 + 4x^2 + 4 is [0, inf). What is the range?

 

is this question right?? i keep getting (-inf, inf) when i try to find to domain of this.. ? so i don't even know how im supposed to find the range anymore

 

edit: i solved for it like a normal equation and i got x=sqrt2 i, -sqrt2 i.. is that supposed to help??

 Feb 2, 2020
edited by atlas9  Feb 2, 2020
 #1
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How would you ever get a negative answer to this equation?    x^4    and   x^2    will always be positive......

     soooooo.....how would you get the negative portion of your answer?

 Feb 2, 2020
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The lowest part of the range would be at x = 0      then y = 4   and it goes to infinity from there....do you see?

Guest Feb 2, 2020
 #3
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so the range is [4, inf) ?

 Feb 2, 2020
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Yeppers....

ElectricPavlov  Feb 2, 2020
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ok thank you !!

atlas9  Feb 3, 2020

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