Determine which functions are polynomial functions. For those that are, identify the degree. f(x)=x^{\frac{1}{2}}-3x^2+5

Jason Farmer

Jason Farmer

Answered question

2021-09-06

Determine which functions are polynomial functions. For those that are, identify the degree.
f(x)=x123x2+5

Answer & Explanation

Cullen

Cullen

Skilled2021-09-07Added 89 answers

Consider the polynomials,
f(x)=x123x2+5
A polynomial is a function of the form,
f(x)=a0+a1x+a2x2++anxn
Where, the coefficient of function are real number, and the exponent (Power) of x are non negative integer.
In f(x)=x123x2+5
Power of x=12,2
The exponent of “x” is not integer.
Here the exponent of “x” is fraction.
Therefore the function is not polynomial function.

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