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A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
How is a function defined?
function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.
Types of functions are generally classified into four different types : Based on Elements: One One Function, Many One Function, Onto Function, One One and Onto Function, Into Function, and Constant Function.
What is into function class 12?
Into function is a type of function where at least one element of the co-domain will not have a pre-image in the domain. Suppose there are two sets, A (domain) and B (codomain). If at least one element of set B is not associated with an element in set A then such a function will be known as an into function.
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How to tell if it is a function or not?
To identify a function from a relation, check to see if any of the x values are repeated - if not, it is a function.
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