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Chapter 4: Q. 16 (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.
$f (x) = 5 x^{2} + 4 x^{4}$

Short Answer

Expert verified

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

Step by step solution

01

Given information

$f (x) = 5 x^{2} + 4 x^{4}$

02

Calculation

$f (x) = 5 x^{2} + 4 x^{4}$

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

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Most popular questions from this chapter

Solve the inequality algebraically.

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

Find the real zeros of f. Use the real zeros to factor f.

$f (x) = 2 x^{3} - 13 x^{2} + 24 x - 9$

True or False : A test number for the interval $- 2 < x < 5$ could be 4.

Solve the given inequality algebraically.

$x^{3} > 1$

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

$C (t) = \frac{t}{2 t^{2} + 1}$

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.

See all solutions

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