Exponential Functions Review

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What is 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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What does a vertical translation of a function mean?

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A vertical translation shifts the graph of a function up or down without changing its shape.

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What does a horizontal translation of a function mean?

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A horizontal translation shifts the graph of a function left or right without changing its shape.

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What is the effect of a negative sign in front of an exponential function?

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A negative sign reflects the graph of the function across the x-axis.

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What does it mean to compress a function vertically?

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Vertical compression reduces the height of the graph, making it flatter, typically by multiplying the function by a factor between 0 and 1.

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The transformation includes a reflection across the x-axis, a left shift of 3 units, and a downward shift of 6 units.

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What is exponential growth?

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Exponential growth occurs when a quantity increases at a rate proportional to its current value, resulting in a rapid increase.