Summary – What is a Function
A function in mathematics is a special relation between input values (domain) and output values (range) where each input is associated with a unique output. Represented as y = f(x), functions have specific characteristics and can be visualized using ordered pairs, tables, or graphs. They are essential in various mathematical problems and come in different types, including injective (one-to-one), surjective (onto), and bijective (both). Functions can be tested using the vertical line test and are classified further into polynomial, inverse, exponential, logarithmic, and trigonometric functions. Understanding functions involves recognizing their domain, range, and the rules defining them. Examples include simple linear functions like y = 2x + 1 and complex compositions of functions. Functions play a crucial role in algebra, geometry, and calculus, aiding in the representation and analysis of mathematical relationships and real-world phenomena.
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