what is a set? what are these domain stuff thingy? i am unable to undestand the concept behind this......pls help
like a set of number? the domain is the value of x. like on a graph you have x and y axis so another word for the x is the domain and the word for y is the range. That's how I was taught hope it helps:)
A set is a group of information. Sara explained domain quite well.
A set is a well-defined collection of distinct objects, called elements or members. The concept of a set is fundamental in mathematics and is used to organize and classify objects or concepts.
To understand sets, let's start with some basic terms:
1. Element: An object that belongs to a set. For example, in the set A = {1, 2, 3}, the numbers 1, 2, and 3 are elements of the set.
2. Empty set: A set with no elements, denoted by the symbol ∅ or {}.
3. Subset: A set A is said to be a subset of another set B if every element of A is also an element of B. This relationship is denoted by A ⊆ B.
4. Universal set: The set that contains all the elements under consideration, denoted by the symbol U.
Now, let's dive into the concept of domains:
In mathematics, a domain is the set of all possible values that a variable or function can take. Domains are commonly used in functions, where the domain defines the input values for which the function is defined. It helps specify the range of possible inputs of a function.
For example, if we have a function f(x) = x^2, the domain can be restricted to real numbers if we don't want to consider complex or imaginary numbers. In this case, the domain would be all real numbers.
In other cases, the domain could be restricted to a specific set of values that make sense for the problem at hand. For example, if we are dealing with the number of apples in a basket, the domain could be restricted to non-negative integers (0, 1, 2, 3, ...).
Understanding the concept of sets and domains can help you establish clear boundaries and constraints in mathematical contexts and solve problems more effectively.