1. **Problem:** For the pair of functions $f(x) = \frac{1}{x}$ and $g(x) = x$, identify one characteristic they share and one that distinguishes them. 2. **Common characteristic:** Both functions are defined for all real numbers except $x=0$ (domain excludes zero). 3. **Distinguishing characteristic:** $f(x) = \frac{1}{x}$ is a hyperbola with branches in quadrants I and III, showing reciprocal behavior, while $g(x) = x$ is a straight line passing through the origin with slope 1. Note: Due to high demand only first question will be answered. To get more questions answered in a single prompt, please sign in or create a free account.