Patterns of Exponential Growth

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What is exponential growth?

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Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.

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What is the general form of an exponential function?

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How does exponential growth differ from linear growth?

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In linear growth, a quantity increases by a constant amount over equal intervals, while in exponential growth, the quantity increases by a constant percentage over equal intervals.

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What is the base in an exponential function?

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The base in an exponential function determines the rate of growth. A base greater than 1 indicates exponential growth.

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What does it mean if a function is described as linear?

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What is the significance of the rate of change in exponential functions?

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In exponential functions, the rate of change increases as the value of 'x' increases, leading to rapid growth.

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What is a common example of exponential growth in real life?

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A common example of exponential growth is population growth, where the number of individuals increases rapidly as the population grows.

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How do you identify an exponential function from a table of values?

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An exponential function can be identified if the ratio of consecutive outputs (y-values) is constant.