Homework 4, due on Tuesday, October 26 by 11:59pm

• Online Homework Instructions: Go to Assignments in Canvas to access the online homework. These assignments come from MyOpenMath, a free online homework program. You have 100 attempts at any given problem, and no penalty for each of these attempts. If for any reason, you need more time to work on an assignment, you may use a Late Pass to extend the due date by 24 hours. Each Late Pass only extends the due date for the problems from a particular section, not for the entire homework assignment. For example, the use of a single Late Pass can extend the due date of the problems assigned from Section 1.3, but not for all sections from HW 1. To extend the due date for a section by more days, you may apply multiple Late Passes. You have 20 Late Passes for the entirety of the course. If the deadline for an assignment has passed and you would like to use a Late Pass, do not select the option to review or practice the assignment because this will prevent you from using your Late Pass since the answers to your assignment will be revealed.


• Written Homework Instructions: Write complete, well-justified solutions (i.e. show clear, logical work) to each problem on paper or using a tablet. You do not need to rewrite the problem statement in your work. Then go to Gradescope from our Canvas page. Upload your work to Gradescope (read "Submitting PDF homework in Gradescope" for a guide on scanning your work), and remember to match each problem to its corresponding page(s) of work (watch "For students: submitting PDF homework" for instructions).

• (Online) MyOpenMath Assignments 3.2, 3.3, 3.4
• (Written)
  1. You want to sell wooden chairs. The price of a chair is given by \(P(x)=80-5x\), where \(x\) is the number of chairs sold and \(P\) is the price of a chair in dollars. Find the revenue function, \(R(x)=xP(x)\). How many chairs should be sold in order to maximize your revenue? What is your maximum revenue?
  2. Let \(f(x)=-5x^2(2x-7)(x^3+1)^4\).
     1. Determine the leading term, leading coefficient, and degree of \(f\).
     2. Describe its end behavior (i.e. as \(x\to\infty,f(x)\to\dots\), as \(x\to -\infty,f(x)\to\dots\)). Briefly justify your answer.