Question

Use the graph below to describe the end behavior and intervals of increase/decrease for the linear function.
(-3,-2) (0,-3) (3,-4)


(5 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.

A) End Behavior:

as x approaches −∞, f(x) approaches
Response area
as x approaches ∞, f(x) approaches
Response area


B) Intervals of Increase/Decrease:



The linear function is Response area from Response area to Response area.

Answer 1

To analyze the end behavior and intervals of increase/decrease for the linear function defined by the points (-3, -2), (0, -3), and (3, -4), we can follow these steps:

### A) End Behavior:

1. **As x approaches −∞, f(x) approaches:**
- Since the points suggest that the function is linear and decreasing, as \( x \) approaches negative infinity, the function (f(x)) will also go toward negative infinity.
- **Response: -∞**

2. **As x approaches ∞, f(x) approaches:**
- Conversely, as \( x \) approaches positive infinity, the function will continue to decrease and approach negative infinity as well.
- **Response: -∞**

### B) Intervals of Increase/Decrease:

- The linear function is decreasing from negative infinity to positive infinity since the slope is negative (the y-values are decreasing as x values increase).
- **Response: decreasing from −∞ to ∞**

### Summary of Responses:
- A) End Behavior:
- as x approaches −∞, f(x) approaches **-∞**
- as x approaches ∞, f(x) approaches **-∞**

- B) Intervals of Increase/Decrease:
- The linear function is **decreasing** from **−∞** to **∞**.