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# Class 12 Maths NCERT Solutions of Chapter 1- Relations and functions

Here you can download maths PDF of class 12 maths NCERT solutions of the chapter 1-Relations and Functions. All the questions of the chapter 1-Relations and Functions are solved by an expert in the maths as per the CBSE norms. The  NCERT solutions of chapter 1 -Relations and Functions will clear your maths fundamentals which are required to learn higher mathematics.PDF of class 12 maths NCERT solutions of the chapter 1-Relations and Functions will help you in your study when you are offline.

Class 12 maths NCERT solutions of chapter 1-Relations and Functions(PDF)

Introduction- An ordered pair is a set of inputs and outputs and represents a relationship between the two values. A relation is a set of inputs and outputs, and a function is a relation with one output for each input.

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Definition of Function- Some relationships make sense and others don’t. Functions are relationships that make sense. All functions are relations, but not all relations are functions.

A function is a relation that for each input, there is only one output.

Here are the mappings of functions. The domain is the input or the x –value and the range is the output or the y-value.

Although the inputs equal to -2 and 2 have the same output, this relation is still a function because each input has just one output.

In the following case mapping is not a function. The input for -4 has more than one output 4 and 16.

### Graphing Functions

Using inputs and outputs listed in tables, maps. And lists make it is easy to plot points on a coordinate grid. Using a graph of the data points, you can determine if a relation is a function by using the vertical line test if you can draw a vertical line through a graph and touch only one point, the relation is a function.

Take a look at the graph of this relation map. If you were to draw a vertical line through each of the points on the graph, each line would touch at one point, so this relation is a function.

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