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The domain and range of {(x,y) : Y = x2} is
- a)(reals, natural numbers)
- b)(reals, positive reals)
- c)(reals, reals)
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The domain and range of {(x,y) : Y = x2} isa)(reals, natural numbers)b...
Domain and Range of a Function
Domain: The set of all possible input values (x-values) for a function.
Range: The set of all possible output values (y-values) for a function.
Explanation
The given function is Y = x2. Let's find the domain and range of this function.
Domain:
The input values (x-values) for this function can be any real number. Therefore, the domain of this function is all real numbers.
Range:
The output values (y-values) for this function are the square of the input values. Since the square of any real number is always positive, the range of this function is all positive real numbers.
Therefore, the correct answer is option 'B' - (reals, positive reals).
Domain: The set of all possible input values (x-values) for a function.
Range: The set of all possible output values (y-values) for a function.
Explanation
The given function is Y = x2. Let's find the domain and range of this function.
Domain:
The input values (x-values) for this function can be any real number. Therefore, the domain of this function is all real numbers.
Range:
The output values (y-values) for this function are the square of the input values. Since the square of any real number is always positive, the range of this function is all positive real numbers.
Therefore, the correct answer is option 'B' - (reals, positive reals).
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The domain and range of {(x,y) : Y = x2} isa)(reals, natural numbers)b...
B
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