Here is the graph of the function $f(x) = \frac{|2 - x|}{2 - x}$. It shows the following:

• The function is constant and equals 1 for $x < 2$.
• The function is constant and equals -1 for $x > 2$.
• There is a discontinuity at $x = 2$, where the function is undefined.

Summary:

1. Zeros: None.
2. X-intercept: None.
3. Y-intercept: $(0, 1)$.
4. Domain: $(-\infty, 2) \cup (2, \infty)$.
5. Range: $\{-1, 1\}$.
6. Increasing/Decreasing Intervals: Constant on both $(-\infty, 2)$ and $(2, \infty)$.
7. Extrema: None (no relative or absolute maxima/minima).

Would you like further details or clarifications?

Related questions:

1. How can you interpret the jump at $x = 2$ mathematically?
2. What happens if we modify the denominator slightly, such as $2 - 2x$?
3. How would this function behave with different absolute values in the numerator?
4. What is the difference between a removable and a non-removable discontinuity?
5. How does this function compare to a step function?

Tip: Discontinuities like this one are called "jump discontinuities," where the function value jumps between two different levels.