Home erau.instructure.com |E| Topic: Module 6 - Discussion: Critical Values Tutor.com Learning Suite Tutor.com Classroom "The student will analyze scientific evidence as it relates to the physical world and its inhabitants." Syllabus K Announcements Account Modules Identify & Compute Discussions Dashboard This discussion re-visits the concept of optimization studied in Module 5. SCIENTIFIC LITERACY Courses Grades People EagleVision Zoom 33 Groups Tutoring Hunt Library Calendar Bookstore Inbox eUnion History Studio (? Help 1. Formulate an application problem that could be modeled mathematically through the graph of the function 2c from Discussion 1. Some examples are the cost functions (manufacturing, production, distribution, transportation, installation, setup, etc.), economy charts, population functions, and modeling an epidemic. For further assistance, newspapers, magazines, and news sites are filled with various data and corresponding graphs. 2. Answer the following questions: For what values of the independent variable does the function have a practical interpretation in the context of your application problem? Explain. In Desmos, draw the graph of the first derivative function and interpret it in the context of your application problem. Find all values, for which the first derivative of the function is 0 and interpret them in the context of your application problem. In Desmos, draw the graph of the second derivative function and interpret it in the context of your application problem. Find all values, for which the second derivative of the function is 0 and interpret them in the context of your application problem. There are multiple due dates in this assignment. Remember to use the Canvas Equation Editor. Refer to the Tools for Mathematics page in the Course Specific Information module for technical guidance. Post & Reply Submit the initial post by the end of the 4th day of the module week. Your initial post should include an application problem description, the graph used to model it, and calculations as described in step 2 of the instructions. By the end of the module week, read your classmates' posts and comment on one other posting. Do you agree with the work and explanations? Where are the errors in the proposed solutions? What makes some of the explanations easier to understand or clearer than others? Explain. Additional comments are encouraged but not required in this discussion. Review the Discussion Rubric for detailed grading information. This activity supports Module Objectives 1-3 and Learning Outcomes 2, 4, & 5. K Search entries or author Unread 88 +33 with no vertical asymptotes and a horizontal asymptotes of y=5/3 C) I chose the equation y = 8 4xx3 domain=(-infinity, 3/4) U (3/4, infinity) Range (-infinity, 5/3) U (5/3, infinity) 40 20 -20 0 20 40 -20- -40- 40 60