Worksheet analyzing rational functions for asymptotes, intercepts, domain, and range.

- Vertical Asymptote(s): x = 7
- Horizontal Asymptote(s): y = 2
- HOLES: None
- x-intercept(s): (1/2, 0)
- y-intercept: (0, 1/7)
- Domain: All real numbers except x = 7
- Range: All real numbers except y = 2

- Vertical Asymptote(s): x = -2, x = -5
- Horizontal Asymptote(s): y = 1
- HOLES: None
- x-intercept(s): (0, 0), (-5, 0) — but x=-5 is excluded, so only (0, 0)
- y-intercept: (0, 0)
- Domain: All real numbers except x = -2 and x = -5
- Range: All real numbers except y = 1

- Vertical Asymptote(s): x = -3
- Horizontal Asymptote(s): y = 1
- HOLES: (3, 1/6)
- x-intercept(s): (4, 0)
- y-intercept: (0, -4/3)
- Domain: All real numbers except x = -3 and x = 3
- Range: All real numbers except y = 1

- Vertical Asymptote(s): x = -3
- Horizontal Asymptote(s): None (Oblique: y = 2x - 1)
- HOLES: None
- x-intercept(s): (1/2, 0), (-3, 0) — but x=-3 is excluded, so only (1/2, 0)
- y-intercept: (0, -1)
- Domain: All real numbers except x = -3
- Range: All real numbers