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Which one of the following is not a function?
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asked
Dec 20, 2021
in
Sets, relations and functions
by
kritika
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90.1k
points)
Which one of the following is not a function?
A. \(\left\{(x, y): x, y \in R, x^{2}=y\right\}\)
B. \(\left\{(x, y): x, y \in R, y^{2}=x\right\}\)
C. \(\left\{(x, y): x, y \in R, x=y^{3}\right\}\)
D. \(\left\{(x, y): x, y \in R, y=x^{3}\right\}\)
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Dec 20, 2021
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kritika
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90.1k
points)
Option : (B)
A function is said to exist when we get a unique value for any value of \(\mathrm{x}\)..
Therefore,
Option \(B\) is correct.. \(y^{2}=x\) is not a function as for each value of \(x\), we will get 2 values of \(y . .\) which is not as per the definition of a function..
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