Answer:
<h2>In the attachment.</h2>
Step-by-step explanation:
![|a|=\left\{\begin{array}{ccc}a&for\ a\geq0\\-a&for\ a](https://tex.z-dn.net/?f=%7Ca%7C%3D%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Da%26for%5C%20a%5Cgeq0%5C%5C-a%26for%5C%20a%3C0%5Cend%7Barray%7D%5Cright)
Put each value of x from the set {2, 3, 4, 5, 6}
to the equation y = 2|x - 4| + 3:
x = 2 → y = 2|2 - 4| + 3 = 2|-2| + 3 = 2(2) + 3 = 4 + 3 = 7 → (2, 7)
x = 3 → y = 2|3 - 4| + 3 = 2|-1| + 3 = 2(1) + 3 = 2 + 3 = 5 → (3, 5)
x = 4 → y = 2|4 - 4| + 3 = 2|0| + 3 = 2(0) + 3 = 0 + 3 = 3 → (4, 3)
x = 5 → y = 2|5 - 4| + 3 = 2|1| + 3 = 2(1) + 3 = 2 + 3 = 5 → (5, 5)
x = 6 → y = 2|6 - 4| + 3 = 2|2| + 3 = 2(2) + 3 = 4 + 3 = 7 → (6, 7)
Mark the points in the coordinates system.
The domain is only five numbers, therefore the graph of this function is only five points.