Math 130 College Algebra, Spring 2008 NAME:____________
EXAM 2
7 problems, 10 points each
Instructions:
1. Show enough work to justify your answers.
2. Don't leave early unless you are sure you've solved all the problems.
(1) Find the zeros of the function Write the answers in the form where and are real numbers. (2) Simplify the following complex number: . Write the answer in the form where and are real numbers
(1) Let
Plot of
first then sketch the graph of
.
What is the relation between the two? (2) The graph of
below is a parabola upside down. Its shape is exactly the same as that of
Find a formula for
Solve the inequality .
Use the leading term test to describe the long term behavior of the function
Find a polynomial of degree 3 with real coefficients and zeros: and
Find the oblique asymptote of the function
Let . Find the multiplicities of the zeros of the numerator and the denominator of and use that information to sketch the graph of the function.