Writing Exponential Functions

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What is an exponential function?

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What does the base of an exponential function represent?

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The base of an exponential function indicates the rate of growth or decay. If the base is greater than 1, the function represents exponential growth; if the base is between 0 and 1, it represents exponential decay.

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How do you identify the initial value in an exponential function?

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What is the general form of an exponential growth function?

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What is the general form of an exponential decay function?

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How can you express a situation where a quantity is halved every period?

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This equation represents a tournament starting with 64 teams, where half of the teams are eliminated in each round.

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How do you find the value of an exponential function at a specific point?

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To find the value of an exponential function at a specific point, substitute the value of 'x' into the function and calculate 'y'.

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What is the significance of the exponent in an exponential function?

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The exponent in an exponential function indicates the number of times the base is multiplied by itself, affecting the growth or decay rate.

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How can you determine the number of houses in a growth scenario after a certain number of months?

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