Question 1 Given the transformed function = ( 1) + 3 , answer the following, showing your calculations:

(a) Suppose the parent function is () = . Transform the parent function points (0, 1) and (1, e) as shown in Example 2 on p. 371. Use those points to help you sketch an accurate graph of the transformed function. Show the asymptote and compute any intercepts. Write the domain and range using correct set notation. (b) Suppose the parent function is () = log(). Transform the parent function points (1, 0) and (10, 1) as shown in Example 8 on p. 388. Use those points to help you sketch an accurate graph the transformed function. Show the asymptote and compute any intercepts. Write the domain and range using correct set notation.

Question 2 Identify 3 characteristics of inverse functions. Create a non-linear function (restricting the domain is OK) that you believe has an inverse. Show a graph of your function and explain why it has an inverse.

Question 3 Search the internet for bank interest rates. Create a scenario where you decide to deposit a lump sum of money into a savings account. Be creative! Make sure to include the interest rate, how often the money will be compounded (annually, quarterly, monthly, daily or continuously), how much is to be invested and how long you will leave the money in the bank.