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.
The number of stars is finite.
Pi is an irrational number. As such, it has an infinite number of digits.
A finite set is one containing a finite number of distinct elements. The elements can be put into a 1-to-1 relationship with a proper subset of counting numbers. An infinite set is one which contains an infinite number of elements.
No. Each integer is finite. There is an infinite number of them though.
No, it is countably infinite.
The number of elements of a pid may be finite or countably infinite...or infinite also....but a finite field is always a pid
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.
true
It is infinite.
The number of stars is finite.
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.
Each integer has a finite number of factors and an infinite number of multiples.
A finite set has a finite number of elements, an infinite set has infinitely many.
Pi is an irrational number. As such, it has an infinite number of digits.
No. Factors are finite. Multiples are infinite.
A set which containing $and pi are the end blocks are the finite and without these are infinite
A finite set is one containing a finite number of distinct elements. The elements can be put into a 1-to-1 relationship with a proper subset of counting numbers. An infinite set is one which contains an infinite number of elements.