1. 27 – Graphing Rational Functions No Calculator
Rational Function Investigations
27 – Graphing Rational Functions No Calculator

2. horizontal intercepts [f(x) = 0]
none
vertical intercepts [x = 0]
vertical asymptote at x = –3
horizontal asymptote at f(x) = 0
hole at (–2, 1)

3. horizontal intercepts [g(x) = 0]
none
vertical intercepts [x = 0]
vertical asymptote at x = –1
horizontal asymptote at g(x) = 0
hole at

4. horizontal intercepts [h(x) = 0]
vertical intercepts [x = 0]
vertical asymptote at x = 2
horizontal asymptote at h(x) = 1
hole at

5. horizontal intercepts [f(x) = 0]
none
vertical intercepts [x = 0]
vertical asymptote at x = –4
horizontal asymptote at f(x) = 0

6. horizontal intercepts [f(x) = 0]
none
vertical intercepts [x = 0]
vertical asymptote at x = 2
horizontal asymptote at f(x) = 0

7. horizontal intercepts [f(x) = 0]
vertical intercepts [x = 0]
vertical asymptote at x = –1
horizontal asymptote at f(x) = 2

8. horizontal intercepts [f(x) = 0]
vertical intercepts [x = 0]
vertical asymptote at x = –1
horizontal asymptote at f(x) = 1
hole at

9. horizontal intercepts [f(x) = 0]
vertical intercepts [x = 0]
vertical asymptote at x = 1
horizontal asymptote at f(x) = 2
hole at

10. horizontal intercepts [f(x) = 0]
none
vertical intercepts [x = 0]
vertical asymptote at x = 2
horizontal asymptote at f(x) = 0
hole at

11. horizontal intercepts [f(x) = 0]
none
vertical intercepts [x = 0]
vertical asymptote at x = 2
horizontal asymptote at f(x) = –2
hole at

12. horizontal intercepts [f(x) = 0]
vertical intercepts [x = 0]
vertical asymptote at x = –4
horizontal asymptote at f(x) = 2
hole at