Are Exponentials Polynomial Functions?

There is a big difference between an exponential function and a polynomial. The function p(x) = x3 is a polynomial. Here the “variable”, x, is being raised to some constant power. The function f(x)=3x is an exponential function; the variable is the exponent.

Are cubics polynomial functions?

A polynomial function is a function such as a quadratic, a cubic, a quartic, and so on, involving only non-negative integer powers of x.

Is a sinusoidal function a polynomial?

There is no exact polynomial equation for a sine wave. Those familiar with Taylor's and MacLaurin's functions will know they can be approximated by an infinite series of polynomials. For example, close to x=0, the value for sine can be approximated by: That's a lot of calculation.

Robert Thorne

Robert Thorne

Automotive & Future Transportation Editor

Robert Thorne covers electric vehicle innovations, autonomous driving systems, global mobility trends, and automotive engineering developments.