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What else can I help you with?
What is the difference between a power functions and a polynomial functions?
A power function is of the form xa where a is a real number. A polynomial function is of the form anxn + an-1xn-1 + ... + a1x + a0 for some positive integer n, and all the ai are real constants.
How does my knowledge of polynomial function prepare me to understand rational function?
A rational function is the quotient of two polynomial functions.
What are the properties of rational functions?
Such functions are defined as one polynomial divided by another polynomial. Their properties include that they are defined at all points, except when the denominator is zero. Also, such functions are continuous at all points where they are defined; and all their derivatives exist at any point where they are defined.For more details, I suggest you read the Wikipedia article - or some other source - on "Rational function".
What is the difference between power and polynomial function?
A power function is a specific type of mathematical function defined by the form ( f(x) = kx^n ), where ( k ) is a constant and ( n ) is a real number. In contrast, a polynomial function is a more general type of function that can be expressed as a sum of power functions with non-negative integer exponents, typically written as ( f(x) = a_nx^n + a_{n-1}x^{n-1} + \ldots + a_1x + a_0 ). Thus, while all power functions are polynomial functions (when ( n ) is a non-negative integer), not all polynomial functions are power functions, as they can contain multiple terms with different powers.
How does polynomial function exist in real life?
As with most advanced math, if your "real life" involves engineering work, you will use such math; otherwise, you will hardly have anything to do, in this case, with polynomial functions.
Finding values of polynomial functions?
Substitute that value of the variable and evaluate the polynomial.
Are all polynomial funcions continuous?
Yes, all polynomial functions are continuous.
What are some real life Applications of Polynomial Functions?
That depends on what you mean with "real-life". You won't need polynomial functions to sell stuff at a supermarket, or to cut off a dead branch from your tree... but if you work in science and engineering, you will need some really advanced math - much more than a simple polynomial function.
Who discovered polynomial?
In the 1880s, Poincaré created functions which give the solution to the order polynomial equation to the order of the polynomial equation
What are Similarities of polynomial and non polynomial?
None, except that they are functions of one or more variables.
What are some similarities between rational functions and polynomial function?
Rational functions and polynomial functions both involve expressions made up of variables raised to non-negative integer powers. They can have similar shapes and behaviors, particularly in their graphs, where they may exhibit similar end behavior as the degree of the polynomial increases. Additionally, both types of functions can be manipulated algebraically using addition, subtraction, multiplication, and division, although rational functions can include asymptotes due to division by zero, which polynomial functions do not have. Both functions can also be analyzed using techniques such as factoring and finding roots.
What is the difference between a power functions and a polynomial functions?
A power function is of the form xa where a is a real number. A polynomial function is of the form anxn + an-1xn-1 + ... + a1x + a0 for some positive integer n, and all the ai are real constants.
Why are 1 2 3 and 4 not cubic polynomial functions?
1 2 3 and 4 are 4 numbers, they are not functions of any sort - cubic polynomial or otherwise.
How does my knowledge of polynomial function prepare me to understand rational function?
A rational function is the quotient of two polynomial functions.
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.
What was the difference engine?
A device that was designed to tabulate 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".
