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Warm up Emma had $1 this morning and asked her mom for another. Instead, her mom said she would give Emma $2 the next day if she still had the dollar she was holding. Plus, she would continue to give Emma $2 each day as long as she saved it all. Emma agreed to the deal and began to wonder how much money she might have at the end of the week. Emma graphed the equation y = 2x + 1 to figure it out. 1. If today, Day 0, is Mon and x is in days, how much could Emma have on Wed? 2. How much on Fri? $5 $9

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Page 1: Warm up

Warm upEmma had $1 this morning and asked her mom for another. Instead, her mom said she would give Emma $2 the next day if she still had the dollar she was holding. Plus, she would continue to give Emma $2 each day as long as she saved it all. Emma agreed to the deal and began to wonder how much money she might have at the end of the week. Emma graphed the equation y = 2x + 1 to figure it out.1. If today, Day 0, is Mon and x is in days,

how much could Emma have on Wed?

2. How much on Fri?

$5$9

Page 2: Warm up

Review HW

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Review HW

I.N. - page 69

MCC9-12.F.BF.1b Combine standard function types using arithmetic operations.

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Combining Functions

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1. Simplify.

If 2 4 and 3 7,

find .

f x x g x x

f g x

5 3x

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2. Simplify.

2 2If 6 3 5 and 4 5 8,

find .

f x x x g x x x

g f x

22 8 13x x

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3. Simplify.

2 3If 4 2 and 3 ,

find .

f x x g x x

f g x

5 312 6x x

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4. Simplify.

If g 2 and h 2,

find .

xx x

g h x

12

2

x

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CHALLENGE. (I dare you.)

If 4 7, 3 18 &

5 2,

find

f x x g x x

h x x

f g h x

2 13x

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CHALLENGE. (I dare you.)

If 14 27, and

11 17,

find

f x x

f g x x

g x

3 10x

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Building and Combining Function TASK

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