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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

Given information

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

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

In Problems 13–24, find the domain of each rational function.

$R (x) = \frac{3 (x^{2} - x - 6)}{4 (x^{2} - 9)}$

A can in the shape of a right circular cylinder is required to have a volume of $500$ cubic centimeters. The top and bottom are made of material that costs $0.06 ₡$ per square centimeter, while the sides are made of material that costs $0.04 ₡$ per square centimeter.

Part (a) Express the total cost C of the material as a function of the radius r of the cylinder.

Part (b): Graph $C = C (r)$ . For what value of r is the cost C a minimum?

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

$f (x) = x^{3} + 2 x^{2} - 5 x - 6$

Find the domain of the rational function.

$G (x) = \frac{x - 3}{x^{2} + 1}$

In Problems 57– 62, find the real zeros of f. If necessary, round to two decimal places.

$f (x) = x^{4} + 1.2 x^{3} - 7.46 x^{2} - 4.692 x + 15.2881$

See all solutions

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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

Step by step solution

Given information

Calculation

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Most popular questions from this chapter

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Applied Mathematics

Theoretical and Mathematical Physics

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Logic and Functions

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In Problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tellwhy not.f(x)=5x2+4x4

Short Answer

Step by step solution

Given information

Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Calculus

Probability and Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

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