Discussion 2: Considerations in Designing a Qualitative Study Using what you have learned about your topic from your literature search, you are working towards formulating a research purpose and question. Note that in the Learning Resources for this week, the language of qualitative research is incorporated into how the research purpose and question is formulated. Here are some basic do’s and don’ts. Quantitative (Don’ts) Qualitative (Do’s) Predict Examine differences, effects, or impact Correlate Analyze Explore Understand Describe Variables Indicators Measures Experience Meaning Essence Narrative Hypotheses Broad, open-ended questions For example, in the ongoing scenario for each of the weeks of this course, the qualitative research question is formulated based on: DO: The purpose of this study is to understand the narratives of childcare and support in families in impoverished communities. DO: What is the meaning of a “well-behaved child” to early childhood caregivers in impoverished neighborhoods? While as in this example, the research question is formulated based on quantitative information DON’T: The purpose of this study is to examine the demographic and family factors that predict the use of childcare services in impoverished communities. DON’T: What are the differences in early childhood social skill acquisition between children that do receive childcare services and those that do not? For this Discussion, you will examine qualitative research as it relates to qualitative design considerations. To prepare for this Discussion: Review the Learning Resources and the Fundamentals of Qualitative Research Methods: Developing a Qualitative Research Question video and consider the basic guidelines for qualitative research design. Use the Course Guide and Assignment Help found in this week’s Learning Resources and search for a qualitative research article. (Note: This article should be the research article you are using for your Major Assignment 1.) Review the qualitative research article you found and identify each of the components of the research design and consider what is present and what is missing. Identify what the authors did to document positionality, reflexivity, and bias. By Day 4 Transform your notes from your preparation work into three paragraphs and post the following: A brief statement of the purpose and primary research question the article addresses An assessment of how thoroughly the research design was presented, including what was missing An assessment of the extent of the researcher’s presentation of positionality, reflexivity, and bias Fundamentals of Qualitative Research Methods: Developing a Qualitative Research Question (Module 2) - YouTube 

For this Critical Thinking Assignment, you will be creating your own real-world scenario and exploring the meaning of differentiation of exponential functions in that context. Complete the following steps:Select a real-world scenario that can be modeled by an exponential function and define the function F(x) based on your scenario. (Ex.: Suppose that F(x) computes the rabbit population on a game reserve that doubles every 6 months. Suppose there were 120 rabbits initially.)Write a mathematical expression for F(x).Find the domain and range of F(x).Find F(x) and F '(x) at any point.Find all x values for which F '(x) = 0.Based on your work in Part I, discuss the following:Discuss if your function F(x) is differentiable and why. If it is not differentiable, select another function that is and discuss the change you made.Discuss the domain and range of F(x) and why they make sense in the context of your problem.Discuss the physical meaning of F(x) and F '(x) at a point in the context of your problem.Discuss what it means for F '(x) = 0 in the context of your problem.Reflect on any adjustments you had to make to your original problem context and discuss what characteristics of a real-world context make it a valid choice for applying differentiation concepts to it.Provide at least two other real-world situations where differentiation can be applied and respond to the following:What common characteristics do the real-world scenarios you chose share?What did you look for in the way that the real-world scenario can be modeled?Discuss the criteria for selecting a real-world scenario that would change if you were seeking to model it with a logarithmic function instead. What key similarities and differences would you find?

Scenario:The owner of a small printing company is considering the purchase of additional printing equipment to expand her business. If the owner expands the business and sales are high, projected profits (minus the cost of the equipment) should be $90,000; if sales are low, projected profits should be $40,000. If the equipment is not purchased, projected profits should be $70,000 if sales are high and $50,000 if sales are low. Are there options other than the purchase of additional equipment that should be considered in making the decision to expand the business? If the owner is optimistic about the company’s future sales, should the company expand by purchasing the equipment? Is the owner’s optimism or pessimism about sales the only factor that may impact the company’s profits? The equipment to be purchased is known in the industry to have a useful life of five years. How might this impact the printing company? For additional details, please refer to the Scenario Analysis Guidelines and Rubric document in the Assignment Guidelines and Rubrics section of the course.Specifically, the following critical elements must be addressed:·Main Element·Integration and Application·Analysis·Critical ThinkingGuidelines for Submission: Your analysis of the scenario must be submitted as a 1-to 2- Page Microsoft Word document with double spacing and 12-point Times New Roman font.