3.3 Rational Functions Day 1
November 14, 2008
3.3 Rational Functions
(Day 1)
Objectives: To identify rational functions
To find the domain of a rational function
Nov 11 ­ 6:34 PM
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3.3 Rational Functions Day 1
November 14, 2008
A rational function is a function of the form
p(x)
R(x) = q(x)
where p and q are polynomial functions and q is not the zero polynomial. The domain is the set of all real numbers excepts those for which the denominator equals zero.
Nov 11 ­ 6:36 PM
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3.3 Rational Functions Day 1
November 14, 2008
Find the domain of each rational function
1) f(x) = 4x
x ­ 3
­4x2
2) g(x) = (x ­ 2)(x + 4)
Nov 11 ­ 6:36 PM
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3.3 Rational Functions Day 1
November 14, 2008
Use the graph to find:
a) the domain and range
b) the intercepts, if any
c) horizontal asymptotes
d) vertical asymptotes
Nov 11 ­ 6:36 PM
4
3.3 Rational Functions Day 1
November 14, 2008
Use the graph to find:
a) the domain and range
(­2, 0)
b) the intercepts, if any
(2, 0)
c) horizontal asymptotes
d) vertical asymptotes
Nov 11 ­ 6:36 PM
5
3.3 Rational Functions Day 1
November 14, 2008
HOMEWORK:
pg. 196 #'s: 12­22 evens,
23, 24, 27, 28 a ­ d only
pg. 983 #'s: 5 ­ 9 Nov 11 ­ 6:51 PM
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