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Chapter 4: Q. 23 (page 194)

In Problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell
why not.
$F (x) = 5 x^{4} - {πx}^{3} + \frac{1}{2}$

Short Answer

Expert verified

F is a polynomial function of degree $4$ .

Step by step solution

01

Given information

$F (x) = 5 x^{4} - {πx}^{3} + \frac{1}{2}$

02

Calculation

$F (x) = 5 x^{4} - {πx}^{3} + \frac{1}{2}$

$F$ is a polynomial function of degree $4$

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Most popular questions from this chapter

The concentration C of a certain drug in a patient's bloodstream t hours after injection is given by

$C (t) = \frac{50 t}{t^{2} + 25}$

Part (a): Find the horizontal asymptote of $C (t)$ . What happens to the concentration of the drug as t increases?

Part (b): Using your graphing utility, graph $C = C (t)$ .

Part (c): Determine the time at which the concentration is highest.

Solve the inequality algebraically.

$x^{4} < 9 x^{2}$

True or False. The graph of a rational function may intersect

a horizontal asymptote.

Find a rational function that might have the given graph.

Find the domain of the rational function.

$R (x) = \frac{x}{x^{4} - 1}$

See all solutions

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