Question

The change in water level of a lake is modeled by a polynomial function, W(x). Describe...

The change in water level of a lake is modeled by a polynomial function, W(x). Describe how to find the x-intercepts of W(x) and how to construct a rough graph of W(x) so that the Parks Department can predict when there will be no change in the water level. You may create a sample polynomial to be used in your explanations.

Homework Answers

Answer #1

Let us create a sample polynomial of cubic order to solve the problem

To find the x-intercepts of the equation, we need to substitute W(x) = y = 0

The values of x obtained after solving the equation are the x-intercepts

To plot the graph, we first need to find the inflection or critical points to see where the graph is changing the concavity

solving the equation will give us the critical points and inflection points, now we can see the points where the graph is increasing and decreasing.

Now find the value of function at all critical points, inflection point, x intecepts and the +,- infinity and plot a smooth graph connecting all the points

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1) Describe an example of each of the following that may be found of your kitchen:...
1) Describe an example of each of the following that may be found of your kitchen: Explain how your choice falls into this category, and if there is a chemical name or symbol for it, provide that as well. Provide a photo of your example with your ID card in it. a) a compound b) a heterogeneous mixture c) an element (symbol) Moving to the Caves… Lechuguilla Caves specifically. Check out this picture of crystals of gypsum left behind in...
Given the data 28.65 26.55 26.65 27.65 27.35 28.35 26.85 28.65 29.65 27.85 27.05 28.25 28.85...
Given the data 28.65 26.55 26.65 27.65 27.35 28.35 26.85 28.65 29.65 27.85 27.05 28.25 28.85 26.75 27.65 28.45 28.65 28.45 31.65 26.35 27.75 29.25 27.65 28.65 27.65 28.55 27.65 27.25 Determine (a) the mean, (b) the standard deviation, (c) the variance, (d) the coefficient of variation, and (e) the 90% confidence interval for the mean. (f) Construct a histogram. Use a range from 26 to 32 with increments of 0.5. (g) Assuming that the distribution Thus, the improved estimates...
1-How important do you believe it is to be task-oriented and relationship-orientated? How would you describe...
1-How important do you believe it is to be task-oriented and relationship-orientated? How would you describe Musk? 2-Why do you think Musk is successful in overcoming obstacles and handling conflict? How do you overcome obstacles in influencing individuals in your life? 3-Besides the personality traits given in chapter 2, what other traits attribute to a great leader? Recognizing Your Traits The definition of intelligence is the ability to acquire and apply knowledge and skills. Elon Musk knew little about rockets...
Sign In INNOVATION Deep Change: How Operational Innovation Can Transform Your Company by Michael Hammer From...
Sign In INNOVATION Deep Change: How Operational Innovation Can Transform Your Company by Michael Hammer From the April 2004 Issue Save Share 8.95 In 1991, Progressive Insurance, an automobile insurer based in Mayfield Village, Ohio, had approximately $1.3 billion in sales. By 2002, that figure had grown to $9.5 billion. What fashionable strategies did Progressive employ to achieve sevenfold growth in just over a decade? Was it positioned in a high-growth industry? Hardly. Auto insurance is a mature, 100-year-old industry...
CASE STUDY ON LEADERSHIP/ Aidensfield hospital currently faces major problems with staff, management, general performance and...
CASE STUDY ON LEADERSHIP/ Aidensfield hospital currently faces major problems with staff, management, general performance and service quality. It is conceivable that these problems are related to the ‘leadership’ styles adapted by those in charge. The senior management have proposed some changes within the organisation to hopefully make improvements but making such decisions requires an in-depth understanding of what is going wrong and why. Leadership as a concept is often considered in isolation when in reality, it is coherent with...
Item 1 In the case below, the original source material is given along with a sample...
Item 1 In the case below, the original source material is given along with a sample of student work. Determine the type of plagiarism by clicking the appropriate radio button. Original Source Material Student Version But what are reasonable outcomes of the influence of global processes on education?While the question of how global processes influence all aspects of education (and who controls these forces) is multidimensional and not completely testable, there appear to be some theories of globalization as it...
Item 1 In the case below, the original source material is given along with a sample...
Item 1 In the case below, the original source material is given along with a sample of student work. Determine the type of plagiarism by clicking the appropriate radio button. Original Source Material Student Version There is a desperate need for theorists and researchers to generate and refine a new breed of learning-focused instructional design theoriesthat help educators and trainers to meet those needs, (i.e., that focus on learning and that foster development of initiative, teamwork, thinking skills, and diversity)....
Total utility can be objectively measured in numbers that indicate usefulness or benefit to the consumer....
Total utility can be objectively measured in numbers that indicate usefulness or benefit to the consumer. ____ 2. Consumers should purchase quantities of a good to the point where MU > P. ____ 3. Voluntary exchange requires that there must be mutual gain. ____ 4. Points along a budget line represent the maximum combinations of two commodities that a consumer can afford. ____ 5. The budget line represents a consumer's preferences for a commodity. ____ 6. A change in consumer...
Item 1 In the case below, the original source material is given along with a sample...
Item 1 In the case below, the original source material is given along with a sample of student work. Determine the type of plagiarism by clicking the appropriate radio button. Original Source Material Student Version In contrast to the transmittal model illustrated by the classroom lecture-note taking scenario, the constructivist model places students at the center of the process--actively participating in thinking and discussing ideas while making meaning for themselves. And the professor, instead of being the "sage on the...
Scenario Pigs R Us is a second generation, family-owned Richmond-based company with about 400 employees. It...
Scenario Pigs R Us is a second generation, family-owned Richmond-based company with about 400 employees. It slaughters, manufactures, and sells pork food products.  Pigs R Us (PRU) is a low-tech, hands-on, “bricks and mortar” type of company with solid brand recognition, an impeccable reputation for high quality and ethical standards. The processes used in manufacturing are with the highest ISO20002 standards, and the plant is maintained immaculately. The personnel are comprised of an older work force (average employee age is late...