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Warm Up Describe the transformations
of f(x) = 0.6ex – 1 from the parent function g(x) = ex
Solve: log62x = 3 Solve: 1524x = 1510 Solve: ln7 + 2ln3 = lnx
Warm Up Solve: log62x = 3
Solve: 1524x = 1510
Solve: ln7 + 2ln3 = lnx
MINUTE TO WIN ITReview of Exponential and Logarithmic Functions
The Rules of the Game
An exponential function is a function with an exponent that is a __________.
THIRTY SECONDS TO WIN IT!
End
Logarithmic functions are the __________ of exponential functions.
THIRTY SECONDS TO WIN IT!
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What is the base of this exponential function? Does the function model growth or decay?
THIRTY SECONDS TO WIN IT!
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Eddie invested $2,000 into an account with a 5.5% annual interest rate. Write a function to model the amount in Eddie’s account after t years.
MINUTE TO WIN IT!
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How much money will be in Eddie’s account after 3 years?
MINUTE TO WIN IT!
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Graph your function from part (a) to predict the doubling time of Eddie’s investment.
MINUTE TO WIN IT!
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Convert to a logarithm and solve for x:
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Convert to exponential form and solve for x:
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Simplify:
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Simplify:
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Let f(x) = 2x – 4 and let g(x) = x2 + 7.
Find f(g(x)).
MINUTE TO WIN IT!
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Let f(x) = 2x – 4 and let g(x) = x2 + 7.
Find g(f(x)).
MINUTE TO WIN IT!
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Let f(x) = 2x – 4 and let g(x) = x2 + 7.
Find f -1 (x).
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Write an equation for the transformed function: The function is translated 4 units right, reflected across the x-axis, and vertically stretched by a factor of 1.5.
MINUTE TO WIN IT!
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Find an exponential model for the following data and use the model to predict when the value of the car will drop below $2000.
TWO MINUTES TO WIN IT!
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Year (2000 = year 0)
Value (in dollars)
0 10,0002 9,0325 7,7539 6,29011 5,685
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Solve: e6x = ex+15
MINUTE TO WIN IT!
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Solve for x:
Great job
teams!
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