20170467 20170467
  • 22-06-2019
  • Mathematics
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DeanR
DeanR DeanR
  • 22-06-2019

The step function is characteristic of the floor or ceiling functions, which map a real number to an integer.  There's clearly a factor of 2, indicated by two units of y for every one unit of x.

The open and filled circles indicate, for example, f(1)=2, f(1.01)=4.   That means we're rounding up, so we're using the ceiling function.

[tex]f(x) = 2 \lceil x \rceil[/tex]

Answer: second choice

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