Exponential Growth and Decay

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What is Exponential Growth?

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Exponential Growth is a process where the quantity increases at a rate proportional to its current value, leading to growth that accelerates over time. Example: Population growth in a bacteria culture.

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What is Exponential Decay?

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Exponential Decay is a process where the quantity decreases at a rate proportional to its current value, leading to a rapid decline over time. Example: Radioactive decay of a substance.

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What is Linear Growth?

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Linear Growth is a process where a quantity increases by a constant amount over equal intervals of time. Example: A car traveling at a constant speed.

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What is Linear Decay?

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Linear Decay is a process where a quantity decreases by a constant amount over equal intervals of time. Example: A car losing fuel at a constant rate.

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How can you identify Exponential Growth on a graph?

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Exponential Growth appears as a curve that rises steeply, becoming steeper over time.

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How can you identify Exponential Decay on a graph?

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Exponential Decay appears as a curve that falls steeply, becoming less steep over time.

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What does a straight line going up on a graph represent?

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A straight line going up represents Linear Growth.

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What does a straight line going down on a graph represent?

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A straight line going down represents Linear Decay.

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What does a smooth curve going up on a graph represent?

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A smooth curve going up represents Exponential Growth.

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What does a smooth curve going down on a graph represent?

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A smooth curve going down represents Exponential Decay.