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Q: Let f be a function with a finite domain The graph of f is necessarily made up of a finite number of points?
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Can a function have an infinite number of values in its domain and only a finite number of values in its range?

Yes. A function is a rule to assign a value based on some other value; you can make the function equal to a constant for all values of a variable "x", or you can make it equal to a few values. Commonly used functions of this type include the integer function (take the integer part of a number), which, if you consider a finite domain (for example, all numbers from 0 to 10), has an infinite number of values in the domain, but only a few specific values in its range; and the sign function.


The number of elements of a principal ideal domain can be?

The number of elements of a pid may be finite or countably infinite...or infinite also....but a finite field is always a pid


How can you determine the domain and range of a rational number?

A number does not have a range and domain, a function does.


Is a series a function whose domain is the set of real number?

Not necessarily. There are series over all kinds of subsets and supersets of the set of real numbers.


Is every measurable functions continuous?

No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.


What is the domain of a discrete function?

The domain is the possible values that can be input into the function and produce a real number output.


What is the domain of the function of fx5x?

f(x)=5x Domain is any number for x that will provide a real number for f(x). In this function, x can be any real number, and f(x) will be a real number. Thus domain is all real numbers.


Can the domain of a function include an irrational number?

Yes. The domain and range can include irrational numbers.


Is the number of asteroids over 0.5 miles?

It is a finite number.It is a finite number.It is a finite number.It is a finite number.


The number 5 is in both the domain and the range of the function A?

true


Can a function have an infinite number of values and domain and only a finite number of values in its range?

Sure. Remember that a function is ANY rule defined to calculate one number based on another number. You can define such a rule any way you want. For example, you can have a function which for ANY value in its domain, the result will always be 1 (or any other number you choose). Such a function (the constant function) will fulfill the requirements of the question. A more interesting (and more useful) example is the "sign" ("signum") function, defined with the following rule: * For x < 0, f(x) = -1 * For x > 1, f(x) = 1 * For x = 0, f(x) = 0 This function has only three values in its range.


Is sequence a function?

yes it is a function because sequence defined as "a function whose domain is set of natural number"