To determine which functions are decreasing, we need to check the ordered pairs or the sections of each function for their trend as the x-values increase.
-
First Function:
- Points: (2, 8), (2.5, 2), (4, 0.5), (6, 0.2)
- As x increases from 2 to 6, the y-values decrease from 8 to 0.2.
- Decreasing: Yes.
-
Second Function:
- Points: (-4, -2.5), (-3, -5), (-2, -2), (0, 5), (2, -2), (3, -5), (4, -2.5)
- As x increases from -4 to 4, the y-values do not consistently decrease (they go from -2.5 to -5, then back to 5, then decrease again to -2, and then drop to -5).
- Decreasing: No.
-
Third Function:
- Section 1: (-3, 4) to (-1, 4) → y remains constant.
- Section 2: (-1, 4) to (1, 0) → y decreases.
- Section 3: (1, 0) to (3, 2) → y increases.
- Section 4: (3, 2) to (5, -2) → y decreases.
- Overall, there are increasing sections, so it's not strictly decreasing.
- Decreasing: No.
-
Fourth Function:
- Section 1: (-5, 2) to (-2, 2) → y remains constant.
- Section 2: (-2, 2) to (1, 4) → y increases.
- Section 3: (1, 4) to (3, 4) → y remains constant.
- Section 4: (3, 4) to (5, 1) → y decreases.
- Again, there are increasing sections, so it’s not strictly decreasing.
- Decreasing: No.
Based on the analysis, the only function that is strictly decreasing is the First Function. Thus, the correct response is:
- The first function.