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IgorC [24]
3 years ago
5

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

Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0
<h2>Answer:</h2>

Shown below

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

The most famous of the step functions is the greatest integer function, which is denoted by the parent function [x].

So, this function is defined as:

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

These are the characteristics of this function:

  • 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 y-intercept at (0,0) and x-intercept in the interval [0,1)
  • 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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