Which of the following statements about polynomial functions is true?Question 14Answera.They are defined for all real numbers.b.They always have a finite number of solutions.c.They can have terms with negative powers.d.They can have fractional exponents.
Question
Which of the following statements about polynomial functions is true?Question 14Answera.They are defined for all real numbers.b.They always have a finite number of solutions.c.They can have terms with negative powers.d.They can have fractional exponents.
Solution
The correct statement about polynomial functions is:
a. They are defined for all real numbers.
Explanation:
a. Polynomial functions are indeed defined for all real numbers. This means you can substitute any real number into the function and it will produce a valid output.
b. This statement is not always true. While a polynomial function of degree n will have n solutions, some of these solutions may be complex (not real) numbers.
c. This statement is false. By definition, a polynomial function cannot have terms with negative powers.
d. This statement is also false. Polynomial functions cannot have fractional exponents. By definition, the exponents in a polynomial function must be whole numbers.
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