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What is the relationship between the base of an exponential function and its rate of growth? aThe smaller the value of the base, the greater the function’s rate of growth. bThe base of an exponential function is unrelated to its rate of growth. cFor each increase in the base, the function’s rate of growth doubles. dThe greater the value of the base, the greater the function’s rate of growth.

Question

What is the relationship between the base of an exponential function and its rate of growth? aThe smaller the value of the base, the greater the function’s rate of growth. bThe base of an exponential function is unrelated to its rate of growth. cFor each increase in the base, the function’s rate of growth doubles. dThe greater the value of the base, the greater the function’s rate of growth.

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Solution

The correct answer is d. The greater the value of the base, the greater the function’s rate of growth. This is because in an exponential function, the base is the factor by which the function grows. So, if the base is larger, the function will grow at a faster rate.

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