Introduction to Exponential Functions

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What is an exponential function?

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What is a linear function?

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How does a linear function behave?

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A linear function adds the same value (slope) for each unit increase in 'x', resulting in a constant rate of change.

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How does an exponential function behave?

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An exponential function increases (or decreases) at a rate proportional to its current value, leading to rapid growth or decay.

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What is the difference between linear and exponential growth?

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Linear growth adds a constant amount over time, while exponential growth multiplies by a constant factor, leading to much faster increases.

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What is the general form of an exponential growth equation?

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What does the graph of a linear function look like?

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The graph of a linear function is a straight line.

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What does the graph of an exponential function look like?

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The graph of an exponential function is a curve that increases rapidly (or decreases) as 'x' increases.

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