Question

Which graph represents y=[2] over the domain 3 <_x <_ 6?

Answer 1

Top Right Corner

Explanation:

The swiftest way to know this is that on each end is a closed circle from 3 [open] to 6 [close]. Bottom left is close, but has an extra line signaling that x is equal to 2, and it is not included, so do not pick this one.

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Answer 2

Top Right

Explanation:

First things first, you can eliminate the bottom left option. The domain 3≤x≤6 means that the graph will only show points greater than or equal to 3 and less than or equal to 6. That option shows x = 2, which is not in this domain.

The symbols on either side of the x are known as ceiling functions. It means that y equals whatever whole number is greater than or equal to than x.

Basically, whatever y is, round it up to the nearest whole number to get x.

So, let's do a table from x = 3 to x = 6

x ║ y Now, see which graph best matches these

2.5 ║ 3 coordinates. Keep in mind that to be a function,

3 ║ 3 the points cannot overlap (they have to pass the

3.5 ║ 4 vertical line test). It looks like the best answer is

4 ║ 4 going to be the top right.

4.5 ║ 5

5 ║ 5

5.5 ║ 6

6 ║ 6