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A step function h(x) is represented by y = -2[x]. Which phrase best describes the range of the function h(x)
O all real numbers
O all rational numbers
O all negative integers
all even integers
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Answer :

The range of the step function is all negative integers, thus, the correct option is A.

What are domain and range of a function ?

Domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

For the given function h(x)=-2|x|, any value of x will return a negative value, therefore, the range of the function is all negative numbers. This can be observed in the graph given below.

Hence, the range of the step function is all negative integers, thus, the correct option is A.

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