In mathematics, elements are the individual objects or members of a set. A set can contain numbers, letters, or other mathematical objects. For example, in the set A = {1, 2, 3}, the elements are 1, 2, and 3. Elements ...
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In Class 12 Maths, relation refers to a connection between elements of two sets, while function is a specific type of relation where each input has exactly one output. Key concepts include domain, range, types of functions like one-one, onto, ...
A function f: ℝ → ℝ maps each real number in the domain ℝ to a real number in the range ℝ. For each input x ∈ ℝ, there is a corresponding output f(x) ∈ ℝ. Class 12 Maths Relations and ...
A set is a well-defined collection of distinct objects or elements. These elements can be anything such as numbers, letters, or objects. Sets are usually denoted by curly brackets, e.g.,A = {1, 2, 3}. The elements of a set are ...
A function f: ℝ → ℝ maps each real number in the domain ℝ to a real number in the range ℝ. For each input x ∈ ℝ, there is a corresponding output f(x) ∈ ℝ. Class 12 Maths Relations and ...
An equivalence class is a subset of a set formed by grouping elements that are equivalent to each other under a given equivalence relation. If a ∼ b, then a and b belong to the same equivalence class. Each equivalence ...
A relation is a connection between elements of two sets, where each element in the first set is associated with one or more elements in the function is a specific type of relation where each input has exactly one output. ...
The function f: ℝ → ℝ defined by f(x) = 1/x assigns each real number x (except 0) its reciprocal. The domain of f(x) is ℝ \ {0} and the range is also ℝ \ {0}. Class 12 Maths Relations and ...
A function in mathematics is a rule that assigns each input exactly one output. It is denoted as f: A → B, where A is the domain and B is the codomain. Functions describe relationships between variables like y = ...
A reflexive relation on a set A is a relation R where every element is related to itself. Mathematically, R is reflexive if (a, a) ∈ R for all a ∈ A. Example: On A = {1, 2}, R = ...