Final answer:
The function f(x) = x is a polynomial because it fits the definition, which is a function with non-negative integral exponents and real coefficients. The other functions listed do not meet these criteria. The correct answer is a. f(×)=×.
Step-by-step explanation:
The question at hand is asking to identify which of the given functions is a polynomial. A polynomial function is one where the variable(s) has non-negative integral exponents and the coefficients are real numbers. Among the given options:
- f(x) = x is a polynomial because it is of the form ax + b, where a = 1 and b = 0, fitting the definition of a linear polynomial.
- g(x) = log2(x) is not a polynomial, because logarithmic functions have variables in the exponent, which does not fit the definition of a polynomial.
- Option c. 'Additional information needed' is not applicable here as enough information has been provided.
- Option d. 'None of the above' is incorrect because f(x) = x is indeed a polynomial.
Therefore, the function f(x) = x is the correct answer as it is a polynomial function.