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The Function F : R → R Defined by F ( X ) = 6 X + 6 | X | is (A) One-one and onto (B) Many One and onto (C) One-one and into (D) Many One and into - Mathematics

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प्रश्न

The function f:RR defined by

f(x)=6x+6|x| is 

 

विकल्प

  • one-one and onto

  • many one and onto

  • one-one and into

  • many one and into

MCQ

उत्तर

(d) many one and into

Graph of the given function is as follows :

A line parallel to X axis is cutting the graph at two different values.
Therefore, for two different values of x we are getting the same value of y .
That means it is many one function .
From the given graph we can see that the range is

[2,)b

and R is the codomain of the given function .
Hence, Codomain

 Range
Therefore, the given function is into .

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अध्याय 2: Functions - Exercise 2.6 [पृष्ठ ७७]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 2 Functions
Exercise 2.6 | Q 29 | पृष्ठ ७७

वीडियो ट्यूटोरियलVIEW ALL [5]

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