Question

A. y = [x]-3
B. y = (x)-1
C. y = [x] +3
D. y = [x]+1

Answer 1

9514 1404 393

Answer:

  C

Step-by-step explanation:

The graph is of the "greatest integer" (floor) function shifted up by 3 units. Hence the appropriate choice is C.

  $y=\lfloor x\rfloor+3$

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The greatest integer less than or equal to x for 0 ≤ x < 1 is 0, so the horizontal line segment at f(x)=3 indicates 3 has been added to the function.

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Additional comment

The brackets used for floor and ceiling functions only have horizontal bits below or above (respectively) the enclosed argument. The usual square brackets [ ] need explanation as to their meaning if they are intended to indicate one or the other of these functions.