Question

On a coordinate plane, a curve starts at (negative 3, 0), increases to (negative 1.5, 10.4), decreases to (1.5, negative 10.4), and then ends at (3, 0).
For which values is the graph decreasing? Check all that apply.
between x = –3 and x = –1.5
between x = –1.5 and x = 0
between x = 0 and x = 1.5
between x = 1.5 and x = 3

Answer 1

To determine where the graph is decreasing, we can analyze the behavior of the curve in the given intervals based on the points provided.

1. **Between x = –3 and x = –1.5**: The curve is increasing (from (–3, 0) to (–1.5, 10.4)).
2. **Between x = –1.5 and x = 0**: The curve is still increasing (it continues upwards until it reaches the maximum point at (–1.5, 10.4)).
3. **Between x = 0 and x = 1.5**: The curve starts to decrease (going from (0, Y) down to (1.5, -10.4)).
4. **Between x = 1.5 and x = 3**: The curve is increasing again (from (1.5, -10.4) to (3, 0)).

From this analysis, the graph is decreasing only in the interval:

- **between x = 0 and x = 1.5**

So, the only correct option is that the graph is decreasing **between x = 0 and x = 1.5.**