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Question Video: Identifying the Base and the Exponent of an Exponential Function Mathematics • 9th Grade

What are the base and exponent of the function 𝑓(𝑥) = 5^(𝑥 − 5)?

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Video Transcript

What are the base and exponent of the function 𝑓 of 𝑥 equals five to the power of 𝑥 minus five?

Recall that an exponential function in its simplest form is of the form 𝑓 of 𝑥 equals 𝑏 to the 𝑥, where 𝑏 is the base and 𝑥 is the exponent. We know that the base 𝑏 is a real number, such that 𝑏 is greater than zero and 𝑏 is not equal to one and the exponent 𝑥 can be any real number. In the given function, we have a base of five and this is raised to the power of 𝑥 minus five. This still fulfills the criteria of an exponential function. So the base is five and the exponent is 𝑥 minus five.

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