1. The problem is to graph the function $f(x) = 2 - \frac{2}{4}x$. 2. First, simplify the function. Since $\frac{2}{4} = \frac{1}{2}$, the function becomes: $$f(x) = 2 - \frac{1}{2}x$$ 3. This is a linear function in the form $f(x) = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 4. Here, the slope $m = -\frac{1}{2}$ and the y-intercept $b = 2$. 5. To graph this, start at the point $(0, 2)$ on the y-axis. 6. From there, use the slope to find another point. Since the slope is $-\frac{1}{2}$, for every 2 units you move to the right (positive x-direction), move 1 unit down (negative y-direction). 7. Plot the second point at $(2, 1)$. 8. Draw a straight line through these points to complete the graph. Final answer: The graph of $f(x) = 2 - \frac{1}{2}x$ is a straight line with y-intercept 2 and slope $-\frac{1}{2}$.