What can I do with Functions? Today you will combine functions using a variety of operations, including compositions and inverses. You will also review.

What can I do with Functions?

Today you will combine functions using a variety of operations, including

compositions and inverses. You will also review inverse functions and

notation.

But first…

Homework Quiz 1.1.2Binders upYou may use your homework 1-23 to 30You have 7 minutes

Functions

Functions are a major component of any advanced math course. We

need to know how to recognize the notation, how to work with

combining functions, and how to undo a function. When we “undo”

a function, we are finding its inverse.

a. Explain in words what this machine does to a number.

b. Suppose it were possible to turn the crank the opposite direction, causing the machine to pull 7 back up into it. What do you think would come out the top? Explain.

c. Suppose Anita wants to build another machine that will “undo” the effects of her first function machine. That is, she wants a machine that will take seven and turn it back into three, take nine and turn it back into four, and so on. Write a rule that she should program into this new machine to make it do this.

Function Machines

Your team will get four function machines. Your team’s job is to get a specific output by putting those machines in a particular order so that one machine’s output becomes the next machine’s input.

Function MachinesIn what order should you stack the machines so that when 6 is dropped into the first machine, and all 4 machines have had their effect, the last machine’s output is 11?

What order will result in a final output of 131065 when the first input is 64?Input: -34

Output: -49

Finding Inverses

Teamwork

With your team, review the Math Notes Box:

Operations with Functions on page 14 in your text.

Once you have studied the box, complete 1-33 and 1-

34 with your team.

Preview Problem for Chapter 2

Assignment

HW 1.1.31-36 to 1-42

(pg. 16)