Learning Materials
Features
Discover
Chapter 3: Problem 2
Write an equation that expresses each relationship. Use \(k\) as the constant of variation. \(v\) varies directly as \(r\)
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
In Exercises \(1-10\), determine which functions are polynomial functions. For those that are, identify the degree. $$f(x)=5 x^{2}+6 x^{3}$$
Why is a third-degree polynomial function with a negative leading coefficient not appropriate for modeling nonnegative real-world phenomena over a long period of time?
Among all deaths from a particular disease, the percentage that are smoking related ( \(21-39\) cigarettes per day) is a function of the disease's incidence ratio. The incidence ratio describes the number of times more likely smokers are than nonsmokers to die from the disease. The following table shows the incidence ratios for heart disease and lung cancer for two age groups. Incidence Ratios $$\begin{array}{|l|cc|} \hline & \text { Heart Disease } & \text { Lung Cancer } \\ \hline \text { Ages } 55-64 & 1.9 & 10 \\ \text { Ages } 65-74 & 1.7 & 9 \\ \hline \end{array}$$ For example, the incidence ratio of 9 in the table means that smokers between the ages of 65 and 74 are 9 times more likely than nonsmokers in the same group to die from lung cancer. The rational function $$P(x)=\frac{100(x-1)}{x}$$ models the percentage of smoking-related deaths among all deaths from a disease, \(P(x),\) in terms of the disease's incidence ratio, \(x\). The graph of the rational function is shown. Use this function to solve Exercises . (graph can't copy) Find \(P(9) .\) Round to the nearest percent. Describe what this means in terms of the incidence ratio, 9 given in the table. Identify your solution as a point on the graph.
In Exercises \(21-26,\) use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial function. $$f(x)=5 x^{3}+7 x^{2}-x+9$$
In Exercises \(1-10\), determine which functions are polynomial functions. For those that are, identify the degree. $$f(x)=7 x^{2}+9 x^{4}$$
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine