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Which of the following describes the graph of y=[x-2]?
O The graph has closed circles on the left of each step and open circles on the right and includes the step
y=-4 for-2≤ x < -1.
The graph has closed circles on the left of each step and open circles on the right and includes the step
y=-3 for-2 The graph has open circles on the left of each step and closed circles on the right and includes the step
y=-4 for-2 ≤ x < -1.
The graph has open circles on the left of each step and closed circles on the right and includes the step
y=-3 for-2

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sqdancefan

Answer:

  (a)  The graph has closed circles on the left of each step and open circles on the right and includes the step y=-4 for-2 ≤ x < -1.

Step-by-step explanation:

The floor function returns the greatest integer not exceeding the argument value. For a unit interval [n, n+1), where n is an integer, the value of the function is n.

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evaluation

For any x in the interval [-2, -1) the value of ...

  y = ⌊x-2⌋

will be ...

  y = ⌊-2 -2⌋ = -2 -2 = -4.

This will be the value of y for the entire interval [-2, -1).

The closed circle is on the left end of the step. For this function y=-4 is the first step.

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