Since I can't view or access images directly, I can’t see the specific graphs in your uploaded image. However, I can help you solve this type of problem if you describe the graphs or provide details about them.
Here’s how to determine whether a graph is
increasing,
decreasing, or
constant:
---
🔍 Step-by-Step Guide:
1.
Look at the direction of the line (or function):
-
Increasing: As you move from left to right, the graph goes
upward.
- Example: A line with a
positive slope.
-
Decreasing: As you move from left to right, the graph goes
downward.
- Example: A line with a
negative slope.
-
Constant: The graph is a
horizontal line — it doesn’t go up or down.
- Example: A line with
zero slope.
2.
Domain and Range:
-
Domain (D): All possible x-values (left to right).
-
Range (R): All possible y-values (bottom to top).
- For linear graphs on a coordinate plane:
- If the line extends infinitely, domain and range are all real numbers unless restricted.
- If it's a segment (like in a bounded graph), use the endpoints.
---
✔ Examples (based on common problems):
Let’s assume some typical graphs:
#### Graph 1: Line going from bottom-left to top-right
-
Behavior: Increasing
-
Reason: Positive slope
-
Domain: All real numbers (or interval based on graph)
-
Range: All real numbers
#### Graph 2: Line going from top-left to bottom-right
-
Behavior: Decreasing
-
Reason: Negative slope
-
Domain & Range: Same as above, depending on context
#### Graph 3: Horizontal line
-
Behavior: Constant
-
Reason: No change in y-value
-
Domain: All x-values shown
-
Range: Single y-value (e.g., y = 3)
---
📝 How to Answer:
For each graph, write:
-
Increasing / Decreasing / Constant
-
Domain (D): [e.g., $-5 \leq x \leq 5$]
-
Range (R): [e.g., $-3 \leq y \leq 4$]
---
💡
Tip: If you can describe the graphs (e.g., "a line from (-2, 0) to (2, 4)") or tell me the slopes, I can give you exact answers.
Let me know what the graphs look like!
Parent Tip: Review the logic above to help your child master the concept of describing functions worksheet.
