What can I do with Functions? Today you will combine functions using a variety of operations,...
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![Page 1: What can I do with Functions? Today you will combine functions using a variety of operations, including compositions and inverses. You will also review.](https://reader035.fdocuments.us/reader035/viewer/2022062519/5697c0121a28abf838ccc50a/html5/thumbnails/1.jpg)
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.
![Page 2: What can I do with Functions? Today you will combine functions using a variety of operations, including compositions and inverses. You will also review.](https://reader035.fdocuments.us/reader035/viewer/2022062519/5697c0121a28abf838ccc50a/html5/thumbnails/2.jpg)
But first…
Homework Quiz 1.1.2Binders upYou may use your homework 1-23 to 30You have 7 minutes
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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.
![Page 4: What can I do with Functions? Today you will combine functions using a variety of operations, including compositions and inverses. You will also review.](https://reader035.fdocuments.us/reader035/viewer/2022062519/5697c0121a28abf838ccc50a/html5/thumbnails/4.jpg)
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.
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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.
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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.
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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
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Finding Inverses
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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.
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![Page 12: What can I do with Functions? Today you will combine functions using a variety of operations, including compositions and inverses. You will also review.](https://reader035.fdocuments.us/reader035/viewer/2022062519/5697c0121a28abf838ccc50a/html5/thumbnails/12.jpg)
![Page 13: What can I do with Functions? Today you will combine functions using a variety of operations, including compositions and inverses. You will also review.](https://reader035.fdocuments.us/reader035/viewer/2022062519/5697c0121a28abf838ccc50a/html5/thumbnails/13.jpg)
Preview Problem for Chapter 2
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Assignment
HW 1.1.31-36 to 1-42
(pg. 16)