College Algebra Final Exam Review

College Algebra Final Exam Review - College Algebra Final...

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College Algebra Final Exam Review - Please note this review does not reflect all types of questions that may be asked on an exam. Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Graph the following piecewise-defined function: a. b. c. ____ 2. Find and if a. b. c. d. ____ 3. Choose the correct graph of the following polynomial function. It may be helpful to factor the polynomial before graphing it.
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a. b. c. d. ____ 4. Choose the correct graph of the following polynomial function. a. b. c. d.
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____ 5. Find the y -intercepts and x -intercepts of the following function. Do not sketch the graph. f ( x ) = ( x 4 )( x + 6 )( x 5 ) a. y- intercept 124 x- intercepts 7, –4, 6 b. y- intercept 123 x- intercepts 6, –5, 9 c. y- intercept 120 x- intercepts 4, –6, 5 d. y- intercept 122 x- intercepts 5, –2, 8 ____ 6. Graph the following rational function. a. b. c. d.
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____ 7. Graph the function. a. b. c. d. e.
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____ 8. Which function is graphed below? a. b. c. d. ____ 9. Indicate the solution set for the following system of linear inequalities by graphing the system and shading the appropriate region. a. b. c. d.
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Numeric Response 10. Suppose that the equation where x represents the number of items sold, describes the profit function for a certain business. How many items should be sold to maximize the profit? __________ items 11. Suppose that the cost function for the production of a particular item is given by the equation where x represents the number of items. How many items should be produced to minimize the cost? __________ items 12. Find by using synthetic division and the remainder theorem. __________ 13. Find the value of that makes the second polynomial a factor of the first. , , k = __________ 14. Assuming that the rate of inflation is 4% per year, the equation yields the predicted price P of an item in t years if it presently costs P 0 . Find the predicted price of a $3.58 jar of coffee creamer in 4 years. Round your answer to the nearest cent. $ __________ 15. Use the formula to find the total amount of money accumulated at the end of the indicated time period for the following investment. Estimate to the nearest cent. $750 for 7 years at 12% compounded semiannually. $ __________ 16. Use the formula to find the total amount of money accumulated at the end of the indicated period by continuous compounding. Round to the nearest cent. $750 for 8 years at 7% , $ __________ 17. What rate of interest, to the nearest tenth of a percent, compounded quarterly is needed for an investment of $1,400 to grow to $3,000 in 6 years? __________ % 18. Find the effective yield, to the nearest tenth of a percent, of an investment at 6.5% compounded monthly. __________ % 19. Suppose that a certain radioactive substance has a half-life of 20 years. If there are presently 2,300 milligrams
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College Algebra Final Exam Review - College Algebra Final...

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