Question

function is graphed on a coordinate plane as shown.



Which statement is true?
The function is decreasing between x = -4 and x = -1.
The function is nonlinear between x = -1 and x = 2.
The function is increasing between x = -1 and x = 2.
The function is decreasing between x = 2 and x = 5.

Answer 1

To analyze the function based on the statements provided, we need to evaluate the behavior of the function on the specified intervals:

1. **The function is decreasing between x = -4 and x = -1.** - This statement needs to be evaluated based on the slope of the graph in that interval; if the graph goes downwards from left to right, then this statement would be true.

2. **The function is nonlinear between x = -1 and x = 2.** - A function is nonlinear if it does not form a straight line over that interval. This requires checking the shape of the graph.

3. **The function is increasing between x = -1 and x = 2.** - Similar to the first statement, this statement would be true if the graph goes upwards from x = -1 to x = 2.

4. **The function is decreasing between x = 2 and x = 5.** - Again, this would be true if the graph slopes down from x = 2 to x = 5.

Without the actual graph, I can't definitively say which statement is true. However, you can check the intervals on the graph you have:

- Look for the trend from -4 to -1, -1 to 2, and 2 to 5 to determine if the slope is decreasing or increasing.
- Check the shape between -1 and 2 to determine if it's linear or nonlinear.

Once you've analyzed the graph, you should be able to identify which statement is true.