Question 28

Mathematics Function and Relation Easy

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) \( \left\{(x, y): x, y \in R, y=x^{3}\right\} \)
View Dynamic Solution & Explanation
Correct Solution: Option B

Step-by-step Solution:

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.