Answer:
#3: Drag the blue points so that the left one aligns with the left side of the red line (x = 2) and the right one aligns with the right side of the red line (x = 6).
#4: 2 < x ≤ 6
Explanation:
#3:
The domain of a function is all of the inputs, or x-values, of the function. To answer this question, drag the blue points so that the red line is covered by the blue box.
Drag the blue points so that the left one aligns with the left side of the red line (x = 2) and the right one aligns with the right side of the red line (x = 6). This gives the domain of the function.
#4:
Now, we can list out the domain of the function in inequality notation. This gives us an answer of 2 < x ≤ 6. The open point on the left side of the function affects which inequality symbol we use. Since it's an open point, we use "<" instead of "≤" because that point (x = 2) is not included in the domain. For the right side of the function, we use "≤" because it's a closed point so 6 is included in the domain.