Applications of Functions
When we say that a variable quantity y is a function of a variable quantity x, we indicate that y is dependent on x and that y’s value is determined by x’s value. This dependency can be expressed as follows: f = y (x).
- The radius of a circle can be used to calculate the area of a circle. The radius r affects area A. We declare that A is a function of r in the mathematic language of functions. We can write A = f(r) =π×r2
- A sphere’s volume V is a function of its radius. V = f(r) = 4/3×r3 denotes the dependence of V on r.
- Force is a function of the acceleration of a body of fixed mass m. F = g(a) = m×a.
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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