Which graph represents y=⌈x⌉ over the domain 2≤x≤5?

The domain of a graph is the set of input values the graph can take.

The graph that represents y = [x] over the domain 2≤x≤5 is the 4th graph.

The domain is given as:

The inequalities at 2 and 5 are both "less than or equal to"

In inequalities, "less than or equal to" is represented by a closed circle

This means that, the circles at x = 2 and x =5 on the graph must be a closed circle.

From the given options, we have the following observations

Hence, the graph that represents y = [x] over the domain 2≤x≤5 is the 4th graph.

Read more about domains at:

link

Step-by-step explanation:

The black circles represent closed intervals, and the white circles represent open intervals.

So, according to function domain given, x = 2 is part of the domain, so must have a black circle. X = 5 is also closed interval, that is part of the domain, so also must have a black circle.

The only graph that has this characteristics is the fourth.

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