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gulaghasi [49]
4 years ago
11

Which graph represents the function of the interval [-3,3] F(x)= [x]-2

Mathematics
1 answer:
Alex17521 [72]4 years ago
5 0
<h2>Answer:</h2>

Shown below

<h2>Step-by-step explanation:</h2>

In mathematics, the most famous of the step functions is the greatest integer function and this is denoted by the parent function:

f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x

We can write some properties of this function as follows:

  • The domain of the function is the set of all real numbers.
  • The range of the function is the set of all integers.
  • The graph has a  at  and  in the interval
  • The graph is constant between each pair of consecutive integers.
  • The graph jumps vertically one unit at each integer value.

The function f(x)=[x]-2 represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.

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