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RELATIONS AND FUNCTIONS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSRELATIONS AND FUNCTIONS1 Mark
MCQ
The function $f : R \rightarrow R$ defined by $f(x) = 2^x + 2^{|x|}$ is:
  • A
    One-one and onto.
  • B
    Many-one and onto.
  • ✓
    One-one and into.
  • D
    Many-one and into.
✓

Answer

Correct option: C.
One-one and into.
The function $f : R \rightarrow R$ defined by $f(x) = 2^x + 2^{|x|}$
Here, for each value of x we will get different values of $f(x).$
Hence, it is one-one function.
Also, each element of codomain is mapped to at most one element of the domain.
Function is one-one and into.

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