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"The" exponential function is ex. A more general exponential function is any function of the form AeBx, for any non-xero constants "A" and "B". Alternately, Any function of the form CDx (for constants "C" and "D") would also be considered an exponential function. You can change from one form to the other.

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Q: What is exponential function?

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Exponential relationship!

fundamental difference between a polynomial function and an exponential function?

The exponential function, in the case of the natural exponential is f(x) = ex, where e is approximately 2.71828. The logarithmic function is the inverse of the exponential function. If we're talking about the natural logarithm (LN), then y = LN(x), is the same as sayinig x = ey.

The number of atoms that decay in a certain time is proportional to the amount of substance left. This naturally leads to the exponential function. The mathematical explanation - one that requires some basic calculus - is that the only function that is its own derivative (or proportional to its derivative) is the exponential function (or a slight variation of the exponential function).

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A __________ function takes the exponential function's output and returns the exponential function's input.

The parent function of the exponential function is ax

No. The inverse of an exponential function is a logarithmic function.

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Exponential relationship!

If the question is, Is y = x4 an exponential function ? then the answer is no.An exponential function is one where the variable appears as an exponent.So, y = 4x is an exponential function.

If y is an exponential function of x then x is a logarithmic function of y - so to change from an exponential function to a logarithmic function, change the subject of the function from one variable to the other.

fundamental difference between a polynomial function and an exponential function?

No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.

Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.

The only non-exponential function that has this property would be a function that has the constant value of zero.

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