1.3 What is a Function?

​1.3 What is a Function?

By THERESA DEACON

Objectives:

Draw

Complete the questions

Open Ended

1. 1. Taylor makes $13 per hour at the grocery store. She always works between 10-15 hours per week to leave time for her homework and band practice. Her gross wages can be modeled as w(h) = 13h, where h is the number of hours worked per week.

   1. How much will her gross wages be if she works 12 hours this week?

   2. What is the domain of this function?

   3. What is the range of this function?

Open Ended

1. 2. Susan earns 0.5% interest annually  in her savings account. She can model her savings account balance after earning interest for a year as f(x) = x + 0.005x, or just f(x) = 1.005x, where x is the account balance. 

   1. What will be her account balance after a year if she started with $30,000 in her account?

   2. What is the domain of this function?

   3. What is the range of this function?

Open Ended

3. 3. Joan has an employee discount of 15% off at StuffMart. She needs to buy 4 packages of hot dogs and 3 packages of buns for her cookout. A package of hot dogs is $2.50 and the cheapest buns are $0.50, while the most expensive “fancy” buns are $4.50. If b is the cost of a package of buns, she can model her purchase as c(b) = 0.85(3b + 10) or c(b) = (3b +10) - 0.15(3b + 10)

   a. What would her total purchase price be if buns cost $1.50?

   b. What is the domain of this function?

   c. What is the range of this function?

Open Ended

1. 4. The function f operates on variable x by tripling it, adding 5, and then doubling that quantity again. This can be modeled as f(x) = 2(3x + 5).

   1. What would be f(22)?

   2. What would be f(-22)?

   3. What is the domain function?

   4. What is the range function?