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Sets, Relations and Functions
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If $A=\{1,2,3\}$ and $B=\{2,3,4,9\}$, then which of the following is a function $f:A \;\rightarrow \;B$ ?
(A) $f(x)=x+1$
(B) $f(x)=2x$
(C) $f(x)=\sqrt x$
(D) $f(x)=x$
jeemain
math
class11
ch2
relations-and-functions
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asked
May 21, 2013
by
rvidyagovindarajan_1
edited
Jul 28, 2016
by
meena.p
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1 Answer
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Ans: $f(x)=x+1$
Because if if $f(x)=2x$ then 3 has no image in B
If $f(x)=\sqrt x$ then none of the elements in A has image in B
If $f(x)=x$ then 1 has no image in B
If $f(x)=x+1$, then $f(1)=2,\:f(2)=3,\:f(3)=4$
answered
May 21, 2013
by
rvidyagovindarajan_1
edited
May 18, 2014
by
rohanmaheshwari0831_1
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