Analyzing the Linear Function y = 3 - x: Increasing or Decreasing?

To determine whether the function $y = 3 - x$ is increasing or decreasing, we need to examine its slope.

The given function is in the standard linear form $y = mx + b$, where $m$ is the slope. For the function $y = 3 - x$, the slope $m$ is $-1$.

The behavior of a linear function is determined by its slope:

• If the slope $m > 0$, the function is increasing.
• If the slope $m < 0$, the function is decreasing.

In this case, since the slope $m = -1$, which is less than zero, the function is decreasing.

Thus, the function $y = 3 - x$ is decreasing.

The correct choice is choice 2: Decreasing.