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Some of the characteristics of such a function are:
- The function is continuous (it doesn't make sudden jumps)
- The derivative is continuous (the function doesn't suddenly change its direction)
- The function is unbounded - as "x" grows larger and larger, f(x) approaches either plus or minus infinity (i.e., it grows without bounds).
- In the complex numbers, any polynomial has at least one zero.
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Continue Learning about Math & Arithmetic
Can the exponents in a polynomial function be negative?
No. It would not be a polynomial function then.
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?
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.
Are all polynomial function continuous?
Yes.
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