Determine whether the function is a polynomial function. I will post the function
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OpenStudy (anonymous):
\[\sqrt[4]{x^{5}}-x^{2}\] +3
OpenStudy (anonymous):
no
OpenStudy (anonymous):
explanation plz? fyi the +3 is part of the function
OpenStudy (anonymous):
Exponents in polynomial functions are positive integers.
OpenStudy (anonymous):
\[\frac{5}{4} \notin \mathbb{N}\]
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OpenStudy (anonymous):
@Calcmathlete so it is not?
OpenStudy (anonymous):
It is not a polynomial function because polynomial functions MUST have positive integers for exponents.
OpenStudy (anonymous):
but in my book, they gave -3x^6-3x^5+18x^4 as a polynomial function and they say it is not a polynomial function if the EXPONENT on the variable is not a nonnegative integer
OpenStudy (anonymous):
@Calcmathlete
OpenStudy (lgbasallote):
\[\sqrt[4]{x^5} = x^{5/4}\]
5/4 is NOT an integer
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OpenStudy (lgbasallote):
integer are whole numbers
OpenStudy (lgbasallote):
so basically a polynomial can only have exponents like 0,1,2,3,4,....
all nonnegative whole numbers (if you want to phrase it that way) exponents
OpenStudy (lgbasallote):
btw..for the sake of information.. 5/4 is a rational number (fraction).
OpenStudy (anonymous):
ohhh thank you so much! it makes so much sense now!