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If x, y belongs to R, then which of the following rules is not a function - (A) y=9-x^2.(B) y=x^2.(C) y=√x-|x|.(D) y=x^2+1.?
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Most Upvoted Answer
If x, y belongs to R, then which of the following rules is not a funct...
Introduction:
In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In this question, we have to determine which of the given rules is not a function.

Solution:
Let's check each rule one by one:

(A) y=9-x^2:
For each value of x, there is a unique value of y. Hence, this rule is a function.

(B) y=x^2:
For each value of x, there is a unique value of y. Hence, this rule is a function.

(C) y=√x-|x|:
For some values of x, there are two possible values of y. For example, when x=1, y=0 and when x=-1, y=2. Hence, this rule is not a function.

(D) y=x^2:
For each value of x, there is a unique value of y. Hence, this rule is a function.

Conclusion:
Out of the given rules, the rule (C) y=√x-|x| is not a function as for some values of x, there are two possible values of y.
Community Answer
If x, y belongs to R, then which of the following rules is not a funct...
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If x, y belongs to R, then which of the following rules is not a function - (A) y=9-x^2.(B) y=x^2.(C) y=√x-|x|.(D) y=x^2+1.?
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If x, y belongs to R, then which of the following rules is not a function - (A) y=9-x^2.(B) y=x^2.(C) y=√x-|x|.(D) y=x^2+1.? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If x, y belongs to R, then which of the following rules is not a function - (A) y=9-x^2.(B) y=x^2.(C) y=√x-|x|.(D) y=x^2+1.? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x, y belongs to R, then which of the following rules is not a function - (A) y=9-x^2.(B) y=x^2.(C) y=√x-|x|.(D) y=x^2+1.?.
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