Answer:
<h2>The second option is the correct answer.</h2>Step-by-step explanation:
The range of a function of variable x means the set of all possible values of the function.
The function, is given by .
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For x < 0, we can not find any maximum or minimum value. So, in this case we need to find the limits.
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Here, if you notice you will see as the function's value is - 1 - x, for x<0, the ultimate value of the function for all x<0 will be greater than - 1.
So, for x < 0 all the values of the function will be > -1.
For x > 0, .
For x = 0, the function's value will be 0.
The range of the function will be the all real numbers y > -1.