Question

for each function, determine whether it is a polynomial function.

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$$\begin{tabular}{|l|c|c|} \\hline \\multirow{2}{*}{function} & \\multicolumn{2}{c|}{is the function a polynomial?} \\\\ \\cline{2-3} & yes & no \\\\ \\hline (a) \\(v(x) = -\\frac{1}{x^3}\\) & & \\\\ \\hline (b) \\(u(x) = x^9 - 7 + 8x^{-6}\\) & & \\\\ \\hline (c) \\(h(x) = 7x^6\\) & & \\\\ \\hline (d) \\(f(x) = 8\\sqrt{x} - 6x^5\\) & & \\\\ \\hline \\end{tabular}$$

Explanation:

Analyze functions (a) and (b)

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Analyze functions (c) and (d)

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Answer:

Function	Is the function a polynomial?
(b) \(u(x) = x^9 - 7 + 8x^{-6}\)	No
(c) \(h(x) = 7x^6\)	Yes
(d) \(f(x) = 8\sqrt{x} - 6x^5\)	No