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Which of the following is an example of an exponential function?

A. f(x) = -(15)
B. (x) = x^3
C. f(x) = x/2 + 1
D. f(x) = -(-5)^x"

1 Answer

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Final answer:

Among the choices provided, D. f(x) = -(-5)^x is an example of an exponential function, because it has a constant base raised to a variable exponent, which is the defining characteristic of an exponential function.

Step-by-step explanation:

The question asks to identify which of the given functions represents an exponential function. An exponential function is defined as a mathematical expression where a constant base is raised to a variable exponent. Looking at the provided options, D. f(x) = -(-5)^x is the correct answer. This is because it fits the form of an exponential function, which generally looks like f(x) = a*b^x, where a is a constant, b is the base (>0, and b≠1), and x is the exponent.

Options A, B, and C do not represent exponential functions. A is a constant function, B is a cubic function, and C is a linear function. Therefore, the only exponential function among the choices is option D.

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