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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)?

Aall real numbers

Ball rational numbers

Call negative integers

Dall even integers

Verified Answer :

measd
DAll even numbers.
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Answer:

Option D is correct.

Step-by-step explanation:

Given a step function h(x) is represented by y = -2⌊x⌋.

we have to find the range of the function h(x).

The value of ⌊x⌋ is the largest integer that is less than or equal to x.

Since given function is greatest integer function which gives the integer value.

Also -2 is multiplied by greatest integer function which results to all even integers.

The set of all output values of a function is called the range of function.

hence, the range of function h(x)

y = -2⌊x⌋

is all even integers.

Option D is correct.

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