ACTIVITY SHEET
General Mathematics: Rational Functions
M11GM-Ib-5: Finds the domain and range of a rational function.
M11GM-Ic-1: determines the:
(a) intercepts
(b) zeroes; and
(c) asymptotes of rational functions
Direction: Analyze each function and write the vertical asymptote(s),
horizontal asymptote(s), x-intercept, y-intercept, holes-point(s) of
discontinuity, domain and range.
Characteristics f(x) =
3
x+2
f(x) =
2x2+5x−3
x+3
f(x) =
3
x+2
+2
f(x) =
1−x
4−2x
f(x) =
4
x
+2
Vertical
Asymptotes
Horizontal
Asymptotes
Domain
(set and
interval
notation)
Range
(set and
interval
notation)
x-intercepts
y-intercepts