Quiz #2 Part 1 - MATH 1400
#____Name ______________________________
Q1: Use limit notation to describe the end behavior of the following functions.
End behavior means that we want to know what the
positive and negative). Therefore, we look at limits as
and as
(as decreases without bound)
values do as gets very large in magnitude (both
(as increases without bound)
To find end behavior of a polynomial function you only need to look at the dominant term,
.
All polynomials (except horizontal lines y=c) have end behavior that either increases or decreases without bound.
Since a rational function is the quotient of two polynomials, when determining its end behavior, look at the dominant
terms in the numerator and denominator.
Rational functions have at most one horizontal asymptote. If there is no horizontal asymptote, then the rational
function increases or decreases without bound.
Does either function above have a horizontal asymptote? If so, which function and what is the equation of the
horizontal asymptote?
Quiz #2 Part 1 - MATH 1400
#____Name ______________________________
Q1: Use limit notation to describe the end behavior of the following functions.
3
Does either function above have a horizontal asymptote? If so, which function and what is the equation of the
horizontal asymptote?
Math 1400 - Quiz #2A
Fall 2010
Score: _____
#______ Name__________________________________
10
Q1: Use limit notation to describe the end behavior of the following functions.
3
Q2:
A. Sketch a graph of
B. Is
continuous or discontinuous at
Using the definition of continuous at a point,
give a reason for you answer.
4
C. Is
continuous or discontinuous at
give a reason for you answer.
Using the definition of continuous at a point,