Math Problem Statement
Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term. g(x)equalsx Superscript one half Baseline minus x squared plus 1 Question content area bottom Part 1 Determine whether g(x) is a polynomial or not. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. It is a polynomial of degree enter your response here. (Type an integer or a fraction.) B. It is not a polynomial because the variable x is raised to the one half power, which is not a nonnegative integer. (Type an integer or a fraction.) Your answer is not correct.C. It is not a polynomial because the function is the ratio of two distinct polynomials, and the polynomial in the denominator is of positive degree. Part 2 Write the polynomial in standard form. Then identify the leading term and the constant term. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The polynomial in standard form is g(x)equals enter your response here with the leading term enter your response here and the constant enter your response here. (Use integers or fractions for any numbers in the expressions.) B. The function is not a polynomial.
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomial Functions
Exponents
Standard Form of Polynomials
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12