Graphing Guidelines
-Determine domain
-simplify if possible
4.2 Graphing
Rational Functions
-Find and plot y-intercept
-Find and plot x-intercepts (zeros)
-Find vertical asymptotes
-Find horizontal asymptotes (if exists)
-Find slant (oblique) asymptotes (if exists)
-Plot at least one point between and beyond each
x-intercept and vertical asymptote
Feb 12­08:22
Slant (Oblique) asymptotes:
-If the degree of the numerator is exactly
one more than the degree of the
denominator the graph has a slant
asymptote.
Feb 18­8:29 AM
Find slant asymptote of:
x2-x
f(x) = x + 1
-To find the equation of a slant asymoptote, use
long division.
Feb 18­8:34 AM
Graph:
g(x) = x3
x2­1 Feb 18­8:37 AM
Feb 18­8:35 AM
Graph:
2
f (x)= 2x +1 x
Feb 18­8:38 AM
1
Graph:
f(x) =
2x3 + x2 - 8x - 4
x2 - 3x + 2
Feb 18­8:39 AM
2