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( a ) One - one into (b) Many-one into

Example Which of the following graph of y = f ( x ), represent functions and which does not ? Give reasons for your answers.

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Solution :

  1. No, for every x there are two images.

  2. Yes, it is a function.

  3. No, there are four images for same x

  4. No, there are two values of y for x = 0

  5. Yes, a function ( known as step function )

  6. No, there are many images for some x

  7. No, there are two images for some x.

Index

6.1 Relations
6.2 Functions
6.3 Variation

Chapter 7

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