fundamental difference between a polynomial function and an exponential function?
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A polynomial function is simply a function that is made of one or more mononomials. For example 4x^2+3x-5 A rational function is when a polynomial function is divided by another polynomial 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.
No. It would not be a polynomial function then.
y = ax, where a is some constant, is an exponential function in x y = xa, where a is some constant, is a power function in x If a > 1 then the exponential will be greater than the power for x > a
Here are some: * They tend to grow (or decrease) very fast* The derivative of the basic exponential function is equal to the function value itself * They are used to describe many common situations, such as the growth of a population under certain conditions, radioactive decay, etc. * An exponential function with a positive exponent will eventually grow faster than any polynomial function