Someone just please help me on this question I need the right answers please

Question

Examine the following step function.
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Which statements are true? Select all that apply

Any decimal or fraction rounds to the greatest integer that is smaller than x

It is the ceiling function.

It is the floor function.

Any decimal or fraction rounds to the least integer that is greater than x.

Answer 1

answer: It is a ceiling function and Any decimal or fraction round to the least integer that is greater than x.

Explanation: The ceiling function (also known as the least integer function) of a real number 

x, denoted ⌈x⌉, is defined as the smallest integer that is not smaller than x. in other words, a ceiling function is one which takes a decimal or fraction to the next integer. This is sort of like rounding up. You can tell this function is a ceiling function because the left side of each integer is not filled in.  

For example, in this graph, when x=9, ​⌈9⌉=9, and when x= 1.3, ​⌈1.3⌉=2,