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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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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.

output

input

Exponential relationship!

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?

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

Logarithmic 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).

Well -x^3/4 would be exponential

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.

Yes.

Since cosh is based on the exponential function, it has the same period as the exponential function, namely, 2 pi i.Note: If you consider only the real numbers, the exponential function, as well as cosh, are NOT periodic.

Yes.

An exponential function is a nonlinear function in the form y=ab^x, where a isn't equal to zero. In a table, consecutive output values have a common ratio. a is the y-intercept of the exponential function and b is the rate of growth/decay.

A power function has the equation f(x)=x^a while an exponential function has the equation f(x)=a^x. In a power function, x is brought to the power of the variable. In an exponential function, the variable is brought to the power x.

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.

Do you mean "equations involving exponential functions"? Yes,

Yuo cannot include a graphical illustration here. Take a look at the Wikipedia, under "exponential function" and "logistic function". Basically, the exponential function increases faster and faster over time. The logistics function initially increases similarly to an exponential function, but then eventually flattens out, tending toward a horizontal asymptote.

An exponential function of the form a^x eventually becomes greater than the similar power function x^a where a is some constant greater than 1.

The logarithm function. If you specifically mean the function ex, the inverse function is the natural logarithm. However, functions with bases other than "e" might also be called exponential functions.

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