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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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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.
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
How does my knowledge of polynomial function prepare me to understand rational function?
A rational function is the quotient of two polynomial functions.
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".
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.
Is an absolute value function a polynomial function?
No it is not
What is a quadratic function is a function whose rule is a polynomial of degree what?
A polynomial of degree 2.
What is a second degree polynomial function?
A second-degree polynomial function is a function of the form: P(x) = ax2 + bx + cWhere a ≠ 0.
What is a root of a polynomial function?
A value of the variable that makes the polynomial equal to zero (apex)
What is the definition for the zero of a polynomial function?
The zero of a polynomial in the variable x, is a value of x for which the polynomial is zero. It is a value where the graph of the polynomial intersects the x-axis.
What is the difference between a transcendental an algebraic function?
An algebraic function is a function built from polynomial and combined with +,*,-,/ signs. The transcendental it is not built from polynomial like X the power of Pie plus 1. this function is transcendental because the power pi is not integer number in result it can't be a polynomial.
