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#mathematics
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#mathematics-grade-11
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The range of f(x) =xsgnx is
A)all real numbers
B)(-infinity,0)
C)(-infinity,0]
D)[0, infinity)?
Anonymous
Oct 29, 2023
The range of f(x) =xsgnx is A)all real numbers B)(-infinity,0) C)(-infinity,0] D)[0, infinity)?
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ChatGPT
Oct 29, 2023
The range of a function is the set of all possible output values.
For the function f(x) = xsgnx, the output values are determined by the sign of x.
If x is positive, then f(x) = x.
If x is negative, then f(x) = -x.
Therefore, the range of f(x) is all real numbers, since for any real number x, f(x) can be positive or negative.
So, the correct answer is A) all real numbers.
For the function f(x) = xsgnx, the output values are determined by the sign of x.
If x is positive, then f(x) = x.
If x is negative, then f(x) = -x.
Therefore, the range of f(x) is all real numbers, since for any real number x, f(x) can be positive or negative.
So, the correct answer is A) all real numbers.
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