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sample1final (Math 121) - Math 121 Precalculus Final Exam...

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Math 121 Precalculus NAME: Final Exam TA: December 9, 1999 Give complete explanations, not just answers, for full credit. Sketch any calculator graph you use including the axes with a scale. Give exact answers whenever possible; otherwise give answers accurate to 2 decimal places 1. Graph the function f ( x ) = 2 x + 3 5 x - 4 , but first find the following (a) The zero(s) of f. (b) The y-intercept of f. (c) The vertical asymptotes of f. (d) The end behavior asymptote of f. Show all the properties (a) through (d) on your graph. 2. a) A boat runs in a straight line for 4 km and then makes a 90 turn and goes for another 6 km. How far from its starting point is the boat? b) A boat runs in a straight line for 5 km and then makes a 45 turn and goes for another 6 km. How far from its starting point is the boat? 3. Find all solutions, real or complex, to the equation 5 x 3 + 3 x 2 - x + 1 = 0. Give exact answers. 4. Find all real solutions to the equation ln( x ) + ln( x + 2) = 3 ln 2. 5. How long will it take for an investment to triple in value when interest is earned at an annual rate of 6 . 25% compunded monthly? 6. Find all solutions to the equation sin(
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