To determine whether each function is increasing or decreasing, let’s analyze the given information in the image:

1. Item I describes a line with a y-intercept at (0, 0) and passing through the point (-1, 1). From these two points, we can calculate the slope. The slope, $m$, of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by: $m = \frac{y_2 - y_1}{x_2 - x_1}$ Substituting $(0, 0)$ and $(-1, 1)$: $m = \frac{1 - 0}{-1 - 0} = -1$ Since the slope is negative, this function is decreasing.

2. Item II shows a graph with a line that has a negative slope, as the line moves downward from left to right. This indicates that this function is also decreasing.

Conclusion: Both functions in Items I and II are decreasing, so the correct answer is:

• C. Both functions are decreasing.

Would you like more details on any part of this solution, or do you have further questions?

Here are some additional questions related to this topic:

1. How can you determine if a function is increasing or decreasing just by looking at its graph?
2. What is the significance of the slope of a line in terms of function behavior?
3. How would the interpretation change if the slope was positive?
4. Can a line have a slope of zero, and what does that mean for its increasing/decreasing behavior?
5. How can you find the slope of a line given only two points on the graph?

Tip: When analyzing functions graphically, always observe the direction the line or curve takes as it moves from left to right on the x-axis.