Let the function be f(x) = 1/(x-1)
The domain is all allowable values for which the function can be defined.
Here, except 1, any number would give the function a meaningful value. If x=1, the denominator becomes 0 and the function becomes undefined. Therefore, the domain is all real numbers except 1.
The range is all values assumed by the function.
Here, the range is negative infinity to plus infinity (that is , all real numbers).
The domain of the sine function is [-infinity, +infinity].The range is [-1, +1].The sine function is periodic. It repeats itself every 360 degrees or 2PI radians.
The domain of the sine function is all real numbers, or (-∞, ∞). Note the curly brackets around this interval, when a domain or range includes positive or negative infinity, it is never inclusive.
The doman can extend from negative infinioty to positive infinity. Its range is from (+)1 to (-)1.
The range of -sin x depends on the domain of x. If the domain of x is unrestricted then the range of y is [-1, 1].
-1<cosine<1
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.
In order to define a function you need two sets (which need not be different). To each member of the first set (called the domain), associate one and only one element from the second set (called the co-domain, or range). that is a function. The mapping from the domain to the co-domain can be shown as a table or as a rule or in other forms.
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.
The domain and range are two different sets associated with a relationship or function. There is not a domain of a range.
The domain of a function is the set of values for which the function is defined.The range is the set of possible results which you can get for the function.
The domain of the function 1/2x is {0, 2, 4}. What is the range of the function?
The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.
Whatever you choose. The function, itself, imposes no restrictions on the domain and therefore it is up to the person using it to define the domain. Having defined the domain, the codomain, or range, is determined for you.
The simplest answer is that the domain is all non-negative real numbers and the range is the same. However, it is possible to define the domain as all real numbers and the range as the complex numbers. Or both of them as the set of complex numbers. Or the domain as perfect squares and the range as non-negative perfect cubes. Or domain = {4, pi} and range = {8, pi3/2} Essentially, you can define the domain as you like and the definition of the range will follow or, conversely, define the range and the domain definition will follow,
A number does not have a range and domain, a function does.
Domain is a set in which the given function is valid and range is the set of all the values the function takes
The answer, for y as a function of x, depends on the range of y. Over the real numbers, it is not a function because a function cannot be one-to-many. But it is always possible to define the domain and range in such a way that the mapping in not one-to-many.