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#mathematics
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#algebra
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#relations
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#in-mathematic-grade-11
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The range of the relation R={(x, y):x,y€ All real numbers and y=x^2+1 is
A)all real numbers
B) (1, Infinity)
C)[1, Infinity)
D)(-infinity,1]
?
Anonymous
Oct 30, 2023
The range of the relation R={(x, y):x,y€ All real numbers and y=x^2+1 is A)all real numbers B) (1, Infinity) C)[1, Infinity) D)(-infinity,1] ?
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ChatGPT
Oct 30, 2023
The range of the relation R is the set of all possible y-values that can be obtained from the given equation y = x^2 + 1.
To find the range, we need to consider the possible values of y. Since x can be any real number, we can see that as x increases or decreases, the value of x^2 + 1 also increases. Therefore, there is no upper limit to the values of y.
However, the minimum value of x^2 + 1 is 1 (when x = 0). Therefore, the range of the relation R is [1, Infinity).
So, the correct answer is C) [1, Infinity).
To find the range, we need to consider the possible values of y. Since x can be any real number, we can see that as x increases or decreases, the value of x^2 + 1 also increases. Therefore, there is no upper limit to the values of y.
However, the minimum value of x^2 + 1 is 1 (when x = 0). Therefore, the range of the relation R is [1, Infinity).
So, the correct answer is C) [1, Infinity).
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