National Research Institute for Mathematics and Computer Science
geometry and elementary applied mathematics
MATHS MATH 111

Summer 2016
Vertical and Horizontal Asymptotes
(This handout is specific to rational functions P( x) where P ( x) and Q( x) are polynomial functions.)
Q( x)
What is an asymptote? An asymptote is a line that the graph of a function approaches.
IMPORTANT: The graph of
National Research Institute for Mathematics and Computer Science
geometry and elementary applied mathematics
MATHS MATH 111

Summer 2016
(Knowledge for Development)
KIBABII UNIVERSITY COLLEGE
A CONSTITUENT COLLEGE OFMASINDE MULIRO UNIVERSITY OF
SCIENCE AND TECHNOLOGY
UNIVERSITY EXAMINATIONS
2014/2015 ACADEMIC YEAR
FIRST YEAR SECOND SEMESTER
MAIN EXAMINATION
FOR THE DEGREE OF BACHELOR OF SC
National Research Institute for Mathematics and Computer Science
geometry and elementary applied mathematics
MATHS MATH 111

Summer 2016
Homework Solutions 5/20
10.5.17
Determine whether the following lines intersect, are parallel, or skew.
L1 :
x = 6t
y = 1 + 9t
z = 3t
L2 :
x = 1 + 2s
y = 4 3s
z = s
Solution:
A vector parallel to L1 is h6, 9, 3i. A vector parallel to L2 is h2, 3, 1i.
If t