Answer

Verified

393.9k+ views

**Hint:**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\[f\left( x \right)\] where x is the input. The general representation of a function is \[y = f\left( x \right)\].

**Complete step by step solution:**

A function rule is the relationship between the dependent and independent variables in the form of an equation. The function rule of a specific function, explains how to determine the value of the dependent variable say y, in terms of the independent variable say x. In simple words, a function rule is defined as the process that changes the input value to output.

Let us explain the function rule with an example:

Ex. Write a function rule for the following table given:

Input | 1 | 2 | 3 | 4 | 5 |

Output | 5 | 6 | 7 | 8 | 9 |

output is obtained when four are added to input. Hence,

Let I be Input

Let O be the Output

Now let us write the equation by obtained data as

\[O = 4 + I\]

Hence, in this way function rules are applied.

**Note**: A user defined function contains common calculations or functionality that can be broken out into distinct and logical pieces. A function can be used repeatedly by calling the function. Functions define what values need to be input in order for the calculation to run correctly. Functions also define what is the output for the given input of the data.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Which are the Top 10 Largest Countries of the World?

Give 10 examples for herbs , shrubs , climbers , creepers

10 examples of evaporation in daily life with explanations

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Why is there a time difference of about 5 hours between class 10 social science CBSE