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TODAY IN ALGEBRA… Warm up: Sequences Learning Target 1: 8.6 You will write and graph exponential decay functions. Learning Target 2: You will use what you understand about exponential functions to find geometric sequences Independent Practice/HW #4 Due Today CH. 8 TEST FRIDAY!

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WARM UP: Complete the Arithmetic and Geometric sequences half sheet. We will go over the solutions as a class. 42 86 42 86

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8.6 EXPONENTIAL DECAY FUNCTIONS x-2012 y Check to make sure that the x’s are increasing by 1. Find what number the previous term is MULTIPLIED by to get the next term. This will be b in your equation. This will be a in your equation.

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8.6 EXPONENTIAL DECAY FUNCTIONS x-2012 y Check to make sure that the x’s are increasing by 1. Find what number the previous term is MULTIPLIED by to get the next term. This will be b in your equation. This will be a in your equation.

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8.6 EXPONENTIAL DECAY FUNCTIONS 1. Make a table. 2. Graph the points. Domain: All real numbers Range: All numbers greater than zero.

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8.6 EXPONENTIAL DECAY FUNCTIONS 1. Make a table. 2. Graph the points. Domain: All real numbers Range: All numbers greater than zero.

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8.6 EXPONENTIAL DECAY FUNCTIONS

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8.5 EXPONENTIAL GROWTH FUNCTIONS

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8.6 EXPONENTIAL DECAY FUNCTIONS Initial amount Decay rate Time period Decay factor

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8.5 EXPONENTIAL GROWTH FUNCTIONS EXAMPLE: The number of acres of Ponderosa pine forests decreased in the western US from 1963 to 2002 by 0.5% annually. In 1963 there were about 41 million acres of Ponderosa pine forests. *Must write the rate as a decimal! t=After 39 years In millions

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8.5 EXPONENTIAL GROWTH FUNCTIONS COMPOUND INTEREST: A farmer bought a tractor in 1999 for $30,000. The value of the tractor has been decreasing at a rate of 18% per year. What was the approximate value of the tractor in 2005? *Must write the rate as a decimal!

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HOMEWORK #5: Pg. 535: 3-6, 10, 14, 20, 24, 28, 32-34, 47-49 If finished, work on other assignments: HW #1: Pg. 492: 4-48 even HW #2: Pg. 498: 4-44 even HW #3: Pg. 506: 4-44 even In Class Work: Scientific Notation HW #4: 523: 3-7, 10, 14, 18, 22, 24, 28, 30, 38-40

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