Question

Which statement best compares the graphs of f(x)=[x] and f(x)=[x]? The two graphs are exactly the same. The open and closed circles are reversed. The open and closed circles are reversed, and the graph of f(x)=[x] shifts up. The open and closed circles are the same, but the graph of f(x)=[x] shifts up.

Answer 1

The graph is shifted up compared to the other graph, the open and closed circles are reversed.

or Option C

Explanation:

math 2021 unit test review

Answer 2

the open and closed circles are reversed and the graph of f(x)=ceil(x) i. e. least integer function shifts up.

Explanation:

the explanation to this question could be clearly seen from the graph of these two functions.

as for 0 ≤x<1 the floor function takes the value 0 everywhere and it has closed brackets at 0 and open brackets at 1, while for 0<x≤1 the ceiling function takes the value 1 and it has open brackets at 0 and closed brackets at 1 similarly the graph could be extended in the whole real line.