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MCCC MAT 146 - MAT146 Review for Final Exam

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MAT 146 1 Spring 2008 Final MAT146 Review for Final Exam PART I. No partial credit. Put your answers on the lines at the right. Where applicable, round answers to three decimal places. 1. If 2( ) 1, ( ) 3f x x g x x  , find gf. 2. Convert 140 degrees to radians. Leave your answer in terms of . 3. Find the vertical asymptotes of 23()( 25)xfxxx 4. If sin x = 0.388 and cos x = 0.922, what is tan x? 5. What happens to 3( ) 3 5f x x x    as x  ? 6. Convert 107 to degrees. 7. Evaluate1tan(tan 3). 8. If ( ) 6 5f x x is one-to-one, give any point on the graph of its inverse. 9. Write as a log equation: 21864 10. What quadrant is the angle in if sin x > 0 and cot x < 0? 11. Write as a single log: 2 log x +3 log y. 12. What is the range of sinyx 13. If 3cos ,52xx   , what is sin 2x? 14. Simplify 2ln xe. 15. Evaluate 1sin(cos 0.3365)on[0,2 ). 16. Answer the questions for the graph below. Assume each tick mark represents one unit. y a. is this a function and why or why not? b. is this a one-to-one function and why or why not? c. find all roots. d. write a possible equation for this graph. e. what is the probable degree of this equation? xMAT 146 2 Spring 2008 Final PART II. Show all work. 1. Given that 53sin ,13 2     , find the values of all other trig functions and estimate, to two decimal places, the value of the angle. Give your answer in degrees. 2. For( ) ( 2)( 3)f x x x x  , find all roots and determine where f(x) > 0. Use interval notation. 3. Answer (a) and (b). a. Solve 126 5xx b. Solve log log2 0x 4. Solve 3(tan 2) 1 tan   on [0,2 ). 5. Let 2125()xxxRx. Find all asymptotes, roots and the y-intercept. You do not have to graph the function. 6. If 4 3 3cos , and cos ,05 2 5 2          , find sin( ) and sin2  . 7. Write as a single log: 21log( 3) 3log( 2) log( 4)2x x x     8. Answer all parts. a. What are the asymptotes of 2214 36xy. b. Find the equation of a parabola with focus at (-1, 4) and directrix x = 7. c. Find the equation of the ellipse with foci at (0,7), (0, -7) and y-intercepts at    0, 8 and 0,8 9. What is the period and amplitude of( ) 3sin 24f x x  ? Sketch one cycle only of the graph, and label the start and stop of one cycle. 10. Find all sides and angles of the triangle: 2 100


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MCCC MAT 146 - MAT146 Review for Final Exam

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