Representation of Functions in Math
We represent a function in mathematics as,
y = f(x) = x + 3
Here, the set of values of x is the domain of the function and the set of output values of y is the co-domain of the function. Here, the function is defined for all real numbers as it gives a unique value for each x but it is not always possible to get the output for each value of x in such case we define the function in two parts, this can be understood as
- f(x) = 1/(x – 2), where x ≠ 2
- f(x) = x2 where x ∈ {R}
We can define a function in mathematics as a machine that that takes some input and gives a unique output. The function f(x) = x2 is defined below as,
We can represent a function in math by the three method as,
- Set of Ordered Pairs
- Table Form
- Graphical Form
For instance, if we represent a function as, “f(x) = x3 ”
Another way to represent the same function is as the set of ordered pairs as,
f = {(1,1), (2,8), (3,27)}
In the above-mentioned set, the domain of the function is D = {1, 2, 3} and the range of the function is R = {1, 8, 27}
What is a Function in Maths?
A Function in maths is a special relation between the set of input values and the set of output values. In Function, each input value gives a particular output value. We represent a function in maths as, y = f(x) where x is the input value and for each x we get an output value as y.
In this article, we will learn about, functions in mathematics, their various types, examples, and others in detail.
Table of Content
- What is a Function in Maths?
- Function Definition in Maths
- Functions Examples
- Condition for a Function
- Representation of Functions in Math
- Identification of Function
- Types of Function
- What is a Function in Algebra?
- Domain and Range of a Function
- Composition of Functions
- Algebra of Functions
- What is a Function on a Graph?
- Graphing Functions
- Common Functions
- Applications of Functions
- Examples on Function
- Practice Problems on What is a Function
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