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Can the exponents in a polynomial function be negative?

No. It would not be a polynomial function then.


A polynomial function is always continuous?

Yes, a polynomial function is always continuous


What is a polynomial function of degree 3?

It is any function of the form ax3 + bx2 + cx +d where a is not zero.


Is log n considered a polynomial function?

No, log n is not considered a polynomial function. It is a logarithmic function, which grows at a slower rate than polynomial functions.


When is a function considered polynomial function?

A polynomial function of a variable,x, can be written as a sum of non-negative integer powers of x. For example, f(x) = 5x5 + 27x2 - 37/3 x + 2.36.


How is a rational function the ratio of two polynomial functions?

That's the definition of a "rational function". You simply divide a polynomial by another polynomial. The result is called a "rational function".


How does my knowledge of polynomial function prepare me to understand rational function?

A rational function is the quotient of two polynomial functions.


Example of fundamental difference between a polynomial function and an exponential function?

fundamental difference between a polynomial function and an exponential function?


Is Polynomial function is a field?

No, it is not. f(x) = 2x + 3 and g(x) = 3x2 are polynomials but f(x)/g(x) is not a polynomial.


What is the difference between rational and polynomials?

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.


Is 2x over 3 a rational function?

Yes, ( \frac{2x}{3} ) is a rational function. A rational function is defined as the ratio of two polynomials, and in this case, the numerator ( 2x ) is a polynomial of degree 1, while the denominator ( 3 ) is a constant polynomial (degree 0). Since both the numerator and denominator are polynomials, ( \frac{2x}{3} ) qualifies as a rational function.


Is an absolute value function a polynomial function?

No it is not