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If the domain is infinite, any polynomial of odd degree has infinite range whereas a polynomial of even degree has a semi-infinite range.
Semi-infinite means that either the range has a real minimum but no maximum (ie maximum = +infinity) or that it has a real maximum but no minimum (ie minimum = -infinity).
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How does the domain relate to a function?
Any function is a mapping from a domain to a codomain or range. Each element of the domain is mapped on to a unique element in the range by the function.
What is the range of a linear function?
The range is the y, while the domain is the x.
What is the range of an absolute value function?
the range is a positive real number
What is the domain and range for the following function and its inverse f of x equals -x plus 5?
The function is a simple linear function and so its nature does not limit the domain or range in any way. So the domain and range can be the whole of the real numbers. If the domain is a proper subset of that then the range must be defined accordingly. Similarly, if the range is known then the appropriate domain needs to be defined.
What is the function of relation domain and range in mathematics?
A relation is a mapping from elements of one set, called the domain, to elements of another set, called the range. The function of the three terms: relation, domain and range, is to define the parameters of a mapping which may or may not be a function.
How is range related to a function?
The range is the set of all possible outputs values for the function when given inputs from the domain.
How are a reasonable domain and range determined for a function?
By having some knowledge about the functions involved. The natural domain is the domain for which the function is defined. For example (assuming you want to work with real numbers): The square root of x is only defined for values of x greater or equal to zero. The corresponding range can also be zero or more. The sine function is defined for all real numbers. The values the function can take (the range), however, are only values between -1 and 1. A rational function (a polynomial divided by another polynomial) is defined for all values, except those where the denominator is zero. Determining the range is a bit more complicated here.
What is the range on a line graph?
The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.The answer will depend on the nature of the line graph.The range is often restricted when the domain is restricted. In that case, the range is the maximum value attained by the graph minus the minimum value. However, many algebraic graphs are defined from an infinite domain to an infinite range. Any polynomial function of power >1, for example, has an infinite range.
How do you find the range of a rational function?
If the degree of the polynomial is odd, the range is all real numbers - for example, y = x5. If the degree is even, use derivatives to find maxima or minima. You learn about derivatives, maxima and minima in any basic calculus course. Example: y = x4 - 3x3 Take the derivative: y' = 4x3 - 9x2 Solve for zero: 4x3 - 9x2 = 0 This will give you two maxima or minima; in this case, check at which of these points the function has the smallest value. Because of the positive coefficient of the leading term, the function values go from this point all the way to plus infinity.
Where can you find a chi-square test tutorial for excell 2007?
Try the related link.Excel function for chi-square:=CHITEST (actual-range, expected range)
What is the inverse of an exponential function?
The inverse of an exponential function is a log function. For example, the inverse of f(x) = ax is f-1(x) = logax. "a" is called the base of the exponential and log functions.
A testable explanation of a broad range of related phenomena which is relied upon by scientists with a high degree of confidence is considered a?
theory
What is the range for the function graphed as shown?
As shown, the function has neither range nor domain.
What is the difference between range and integral range?
The range, usually of a function, is the set of value that the function can take. The integral range is a subset of the range consisting of integer values that the function can take.
Political science and Units for master's degree?
Typically, a master's degree in this area can range 30 to 38 credits.Typically, a master's degree in this area can range 30 to 38 credits.Typically, a master's degree in this area can range 30 to 38 credits.Typically, a master's degree in this area can range 30 to 38 credits.Typically, a master's degree in this area can range 30 to 38 credits.Typically, a master's degree in this area can range 30 to 38 credits.
If an inverse function undoes the work of the original function the original function's range becomes the inverse function's?
range TPate
What is is the domain and range of y equals 2x-8?
10
