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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 a root of a polynomial function?
A value of the variable that makes the polynomial equal to zero (apex)
What is a function whose rule contains absolute value expressions?
An absolute-value function
Which function has a graph that is increasing only?
Absolute Value function
How do you graph the function of the absolute value of x?
I
What is an absolute function?
The absolute value function returns the absolute value of a number.
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 a root of a polynomial function?
A value of the variable that makes the polynomial equal to zero (apex)
What is a function whose rule contains absolute value expressions?
An absolute-value function
How different polynomial and non polynomial?
Well, "non-polynomial" can be just about anything; presumably you mean a non-polynomial FUNCTION, but there are lots of different types of functions. Polynomials, among other things, have the following properties - assuming you have an expression of the type y = P(x):* The polynomial is defined for any value of "x". * The polynomial makes is continuous; i.e., it doesn't make sudden "jumps". * Similarly, the first derivative, the second derivative, etc., are continuous. A non-polynomial function may not have all of these properties; for example: * A rational function is not defined at any point where the denominator is zero. * The square root function is not defined for negative values. * The first derivative (i.e., the slope) of the absolute value function makes a sudden jump at x = 0. * The function that takes the integer part of any real number makes sudden jumps at all integers.
What do the absolute value of a function do to the graph of that function?
The absolute value of a function changes the original function by ensuring that any negative y values will in essence be positive. For instance, the function y = absolute value (x) will yield the value +1 when x equals -1. Graphically, this function will look like a "V".
Which function has a graph that is increasing only?
Absolute Value function
Can the exponents in a polynomial function be negative?
No. It would not be a polynomial function then.
How do you graph the function of the absolute value of x?
I
Is absolute value a one to one function?
No.
Why might it be useful to know the linear factors of a polynomial function?
It is useful to know the linear factors of a polynomial because they give you the zeros of the polynomial. If (x-c) is one of the linear factors of a polynomial, then p(c)=0. Here the notation p(x) is used to denoted a polynomial function at p(c) means the value of that function when evaluated at c. Conversely, if d is a zero of the polynomial, then (x-d) is a factor.
Different types of functions in maths?
Piecewise, linear, exponential, quadratic, Onto, cubic, polynomial and absolute value.
