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 __________.

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Logarithmic functions are the __________ of exponential functions.

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What is the base of this exponential function? Does the function model growth or decay?

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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.

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How much money will be in Eddie’s account after 3 years?

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Graph your function from part (a) to predict the doubling time of Eddie’s investment.

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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)).

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Let f(x) = 2x – 4 and let g(x) = x2 + 7.

Find g(f(x)).

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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.

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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.

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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

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Solve for x:

Great job

teams!