Question

Which equation matches the graph of the greatest integer function given below?

Answer 1

dang :/ i came here lookin for the answer to double check but its

y=[x]-4

P.S. apex blows XP

Answer 2

y = [x] - 2, matches the graph of the given greatest integer function.

Solution-

The Greatest Integer Function is denoted by y = [x].

For all real numbers, x, the greatest integer function returns the largest integer less than or equal to x. In essence, it rounds down a real number to the nearest lowest integer.

In the plot of y = [x], the plot starts from origin because

y = [0] = 0.

But, in the question, all the line are shifted 2 units downward, as it starts from (0, -2).

i.e for every values of x, y decreases 2 units. Hence, 2 must be subtracted.

Therefore, this graph represents y = [x] - 2.