The function $h(x) = \left| \frac{1}{x} \right|$ represents the absolute value of the reciprocal function. Let's analyze and describe its key characteristics to understand its graph:

Key characteristics of $h(x) = \left| \frac{1}{x} \right|$:

1. Domain: The function is undefined at $x = 0$ because division by zero is not possible. Therefore, the domain is $(-\infty, 0) \cup (0, \infty)$.
2. Range: Since we are taking the absolute value, the output is always positive. The range is $(0, \infty)$.
3. Asymptotes:
   • Vertical Asymptote: At $x = 0$, the function approaches infinity as $x$ gets closer to zero from either side. Hence, there is a vertical asymptote at $x = 0$.
   • Horizontal Asymptote: As $|x|$ increases (either positively