Given that denotes the set of real numbers, which of the following mappings is a one-to-one (i.e., injective) function?
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2 marksMathematicsSets, relations and functionsOne-to-one, onto and invertible functionsModerateabout 2 min
DSE 2006 Question 60: Sets, relations and functions
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Given that ℜ denotes the set of real numbers, which of the following mappings is a one-to-one (i.e., injective) function? (A) f(x)=tan x, where x∈ℜ and x≥ 0 (B) f(x)=|x|, where x∈ℜ (C) f(x)=1/x, where x∈ℜ and x≥ 0 (D) f(x)=|x|, where x∈ℜ and x≥ 0
Also written as: Given that Re denotes the set of real numbers, which of the following mappings is a one-to-one (i.e., injective) function?
Sets, relations and functions has come up 65 times in 6 exams since 2004.
What this question tests
This question is on One-to-one, onto and invertible functions, part of Sets, relations and functions in Mathematics.
Injective, surjective and bijective functions and when an inverse exists.
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Question from the DSE 2006 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.