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Pre-calc w-up 10/27 #1-2 Evaluate
#3 write in rational form & #4 write in simplified radical form
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11.2 Exponential Functions
Read the text book pg and answer the following questions. 1) What is a power function, give an example What is an exponential function, what are the characteristics, give an example. What is the difference between exponential growth and decay? Is there a formula? Give an example. What is compound interest, is there a formula?
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Exponential Function General Form:
y intercept or starting value Growth/decay rate If b > 1 Growth If 0 < b < 1 Decay
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Ex. A State whether the function shows growth or decay, state the y intercept and the growth/decay rate. Y int = 3 Y int = 3 Growth rate is 2 Decay rate is What do the graphs look like?
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Graphing: You must label at least four points (some negative)
If it is an inequality you must show your check. Ex1: graph y > 2x – 3 Check (0,0) in the original equation: IS 0 > 20 -3 x y -2 -2.75 1 -1 3 5 YES so shade towards the pt you picked (0,0) (3,5) (1,-1) (0,-2) (-2,-2.75) This dotted line is the asymptote, what part of the equation did it come from?
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Try on your own 5. y < 3x 6. y = 3-x
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C) graph the depreciation
Ex2: A car depreciates at the rate of 20%. If the car originally cost $20,000 then A) write the equation that models the depreciation.____________________ B) find the value of the car at the end of 2 years.________________________ C) graph the depreciation A=20,000(1-0.20)t A=20,000(1-0.20)2 = $12,800
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Homework: pg # 10-21, all
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