1. **Problem Statement:** Identify the intervals of increase/decrease, symmetry, domain, and range for the function $f(x) = 3x - 5$. 2. **Formula and Rules:** For a linear function $f(x) = mx + b$, the slope $m$ determines if the function is increasing or decreasing. - If $m > 0$, the function is increasing. - If $m < 0$, the function is decreasing. - The domain of any linear function is all real numbers, $(-\infty, \infty)$. - The range of any linear function is also all real numbers, $(-\infty, \infty)$. 3. **Intermediate Work:** - Here, $m = 3$, which is positive. - So, $f(x)$ is increasing on $(-\infty, \infty)$. - The function is linear, so it has no symmetry (not even or odd). 4. **Answer:** - Interval of increase: $(-\infty, \infty)$ - Interval of decrease: None - Symmetry: None - Domain: $(-\infty, \infty)$ - Range: $(-\infty, \infty)$