Mathematics 150AL

Assignment 1

Due: Feb 5, 2008

Please use Scientific Notebook to complete this assignment.

1. Consider the 5th degree polynomial below:

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MATH

a. Use the Intermediate Value Theorem to prove that this polynomial has at least one real root.

b. Plot the graph of this polynomial.

c. Find all complex roots of the polynomial, if any.

2. For each of the following functions, plot the graph, and determine for which $x$ the function is continuous.

a. MATH

b. MATH

c. MATH

d. MATH

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