MATH0002Exam3ReviewQs

# MATH0002Exam3ReviewQs - b Convert x M a-= log to an...

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MATH002 – COLLEGE ALGEBRA Exam 3 – Review Questions 2.5 1. Solve: y y y y y y y 1 5 4 5 5 3 2 + = + + + + + 2. Solve: 6 4 2 = - - x 3. Solve: 1 3 3 = - - x x 4. Solve: |x – 4| + 3 = 9 2.6 5. Solve and graph the solution set: -1 < x – 4 < 7 6. Solve and graph the solution set: 9 – 2x < -1 or 9 – 2x > 1 4.1 7. a. Graph the function y = 4 – 2x b. Find the inverse function to y = 4 – 2x c. Graph your solution to b and check that the two graphs are reflections across y = x 8. Is the function f(x) = 2 1 x 2 + 3 one–to-one? 9. Find the inverse function to f(x) = 5 3 - x 10. Sketch the graph of the inverse to function f y x

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4.2 11. Graph the function f(x) = 5 x 12. a. Graph the function f(x) = 2 + e -x b. What is the relationship between this graph and the graph of f(x) = e x ? 4.3 13. Find the following without a calculator a. log 10 b. 27 log 3 14. a. Convert e 3 = t to a logarithmic equation.
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Unformatted text preview: b. Convert x M a-= log to an exponential equation. 15. Suppose a function is defined by f(x) = 100 + 20 ln x a. What is the domain of f? b. Calculate f(1) c. Calculate f(3) 4.4 16. Express in terms of sums and differences of logarithms: 3 4 2 3 5 log x z y 17. Express as a single logarithm: 2[ln(x 2 – 9) – ln(x + 3)] + ln(x + y) 4.5 18. Solve: log(x + 5) – log(x – 3) = log 2 19. Solve: e 2t = 10 20. Solve: log 6 x = 1 – log 6 (x – 5) 4.6 21. A population of rabbits starts with an initial population of 100. The number of rabbits after t days is given by P(t) = 100e 0.117t a. What will be the population after a week? b. What will be the population after two weeks?...
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## This note was uploaded on 04/20/2008 for the course MATH 0002 taught by Professor Marcigeni during the Spring '08 term at Pittsburgh.

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MATH0002Exam3ReviewQs - b Convert x M a-= log to an...

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