anonymous
  • anonymous
Let A denote the set of all real numbers. Let B denote the same set as A. Let f be the function that, to each number in A assigns the square of the number. Is f a function? Explain in complete sentences
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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zzr0ck3r
  • zzr0ck3r
\[is \space f(x) = \pm\sqrt{x}\space a \space function?\]
amriju
  • amriju
can a function have two values for a point??
zzr0ck3r
  • zzr0ck3r
this question does not give enough information. you can have either yes or no as an answer.

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More answers

amriju
  • amriju
I meant can a function have the same value for two points??
zzr0ck3r
  • zzr0ck3r
not by the definition of a function....
amriju
  • amriju
then any point x and -x will have the same value for f(x) thats a^2..so would this be a function from A to B??
zzr0ck3r
  • zzr0ck3r
let A = B = {0} f:A-->B,f(x) = sqrt(x). then the answer is yes but if we let A = B = R f:A-->B,f(x) = sqrt(x) then no
zzr0ck3r
  • zzr0ck3r
not If A and B are {0} because sqrt(0) = 0
amriju
  • amriju
but A nd B are sets containing all real numbrs by ques..
zzr0ck3r
  • zzr0ck3r
Ohh lol woops
zzr0ck3r
  • zzr0ck3r
then no its not a function:)
amriju
  • amriju
:)..

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