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25 February, 10:45

The function f (x) = - √-x is shown on the graph. Which statement is correct? The range of the graph is all real numbers greater than or equal to 0. The domain of the graph is all real numbers greater than or equal to 0. The range and domain of the graph are the same. The domain of the graph is all real numbers.

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  1. 25 February, 12:20
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    f (x) = - √-x

    For the domain:

    What you should know for this case is that value of x define the function.

    We have then:

    -x> = 0

    Clearing x:

    x < = 0

    For the range of the function:

    You can see what values the function takes when substituting any value of x.

    We have in this case the values of y always are:

    y < = 0

    Answer:

    The range and domain of the graph are the same.
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