Hello!
Let's take this step by step
The first one is 2 < x < 3
We look at the graph and see where x is greater than 2 and less than 3 with the circles not shaded
It is the ones where y = 1
The answer to the first one is f(x) = 1
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The next one is 0 is greater than or equal to x and x is less than 2
We look for the line that has x going from 0 to 2 with the circle at x shaded in
The line goes up 1 and over 1 which is the same as x
The answer to the second one is f(x) = x
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For the third one we look for the one where x goes for 3 to 5 with the one at the 5 is shaded
This line goes down one and right 1 which is the same as -x
Since it goes to five the answer is
The answer is f(x) = 5 - x
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For the fourth one we look for the point where x is 2 and there is no line with the circle shaded
The point is at where y is equal to 3
The answer is f(x) = 3
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Hope this helps!