On a coordinate plane, a curve starts in quadrant 2, curves up to the y-axis, and then decreases into quadrant 1.

Question

How would you describe this graph? Check all that apply.
continuous
discrete
increasing everywhere
decreasing everywhere
increasing then decreasing
decreasing then increasing

Answer 1

Based on your description of the curve starting in quadrant 2, curving up to the y-axis, and then decreasing into quadrant 1, we can analyze the graph as follows:

1. Continuous: The graph seems to be smooth and does not have any breaks, so it is continuous.

2. Discrete: The graph is not discrete, as it does not consist of separate points but rather a continuous curve.

3. Increasing everywhere: The graph is not increasing everywhere. It initially increases from quadrant 2 to the y-axis.

4. Decreasing everywhere: The graph is also not decreasing everywhere, as it increases before starting to decrease.

5. Increasing then decreasing: This is true, as the graph first increases until it reaches the y-axis and then decreases into quadrant 1.

6. Decreasing then increasing: This does not apply, as the graph does not decrease before increasing; it only increases initially.

Therefore, the applicable descriptions for the graph are:

• Continuous
• Increasing then decreasing