Question

determine if the following function is a polynomial function. if it is, identify the degree.

(f(x) = x^{1/2} - 7x - 2)

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

it is a polynomial. the degree of the polynomial is
it is not a polynomial.

Explanation:

Analyze the definition of a polynomial function

Using the Polynomial Functions knowledge point

$$
LATEXBLOCK0
$$

Examine the exponents of the given function

Using the Polynomial Functions and Degree of Polynomial knowledge points

$$
LATEXBLOCK1
$$

Determine polynomial status

Using the Polynomial Functions knowledge point

$$ \text{Since } \frac{1}{2} \text{ is not a non-negative integer, } f(x) \text{ is not a polynomial function.} $$

Answer:

• It is a polynomial. The degree of the polynomial is <blank></blank>
• It is not a polynomial. (Correct answer)