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sample3exam2 (Math 121) - (b ±ind the vertical asymptote(s...

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Math 121, Sample Exam 2 SHOW ALL WORK. NO CREDIT for answers only. Give exact answers whenever possible, otherwise give answers accurate to two decimal places. Sketch any calculator graph you use including the axes with a scale. 1. Below is the graph of a polynomial function f ( x ). Please answer the following: (a) Is the degree of f ( x ) odd or even? (b) Is the leading coefficient positive or negative? (c) List the roots of f ( x ). For each root, determine whether the multiplicity of the root is even or odd. (d) What is the minimum degree of f ( x )? -1 -0.5 0 0.5 1 1.5 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 y x 2. Given that 2 - i is a root of f ( x ) = 3 x 3 - 19 x 2 + 43 x - 35, find all remaining roots (real and complex). 3. Consider the rational function f ( x ) = 1 - 3 x 5 x + 4 . (a) Find the root(s) of f ( x
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Unformatted text preview: ). (b) ±ind the vertical asymptote(s) of f ( x ). (c) ±ind all holes of f ( x ), if they exist. (d) ±ind the horizontal asymptote. 4. Solve the inequality: 1 + x < 2 x ≤ 3 x-1. 1 5. Simplify the following expressions: (a) 2 + 4 i 1-i (write in the form a + bi ) (b) ( a 2 b 1 / 3 ) 4 3 √ ab (write in the form a x b y ) (c) ln √ ex-ln r e x 6. Solve the equation: log( x + 1) = log x + 2 log 3. 7. Suppose you invest $1000 in a savings account. At what interest rate should the money be invested so that there is $1100 in the account after 2 years, assuming the interest is compounded monthly? Write the interest rate as a percentage and write to two decimal places. 2...
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