Homework 2, due on Thursday, October 14 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 1.3, 1.4, 1.5
• (Written)
  1. A department store is having a massive sale. Everything is 40% off! You want to buy an item with an original price of \(x\) dollars.
     1. There's another promotion: you get an additional 10% off for using the store's credit card. Find a function for the price of the item if the 40% discount is applied first, followed by the 10% discount. Then find a function for the price if the 10% discount is applied first, followed by the 40% discount. Which order saves you more money? Does it matter?
     2. Unfortunately you forgot your store credit card at home, but then you find a $5 off coupon in your pocket! Find a function for the price of the item if the 40% discount is applied first, followed by the coupon. Then find a function for the price if the coupon is applied first, followed by the 40% discount. Which order saves you more money? Does it matter?
  2. The graph of a function \(f\) is given below.
     
     1. Find the average rate of change of \(f\) over the interval \([0,6]\).
     2. Let \(g=\displaystyle f(x-1)+3\). Describe how \(g\) is a transformation of \(f\).
     3. Sketch the graph of \(g\). Include four points, and label them on the graph using their coordinates.