advertisement

Math 1304 -- Review for Test #3 Chapter 3: Polynomial and Rational Functions Chapter 4: Exponential and Logarithmic Functions 1. Page 216 (13 - 18) Graph y = x3 – 5x2 – 6x by finding the zeroes and using a sign chart. 2. Page 225 (13 – 16, 29 – 34) Use the Remainder Theorem to find f(c) or use the Factor Theorem to determine if x – c is a factor of f(x). a. Find f(2) if f(x) = x3 – 3x2 – 7x + 6. b. Is x – 3 a factor of f(x) = 4x3 – 9x2 – 8x – 3? 3. Page 247 (15 – 24) Use the Rational Zero Theorem to find all zeros for 2x3 – 8x2 + 9x – 9 = 0. 4. Page 237 (1 – 6) ; Page 247 (1 – 10) Find the polynomial with zeroes –1 and 7i and where f(2) = 53. 5. Page 265 (7 – 44) Find the coordinates of all intercepts and holes (if any). Find the equation of all x2 x 6 asymptotes. Sketch the graph. f ( x) 2 . x 2x 3 6. Page 312 (13 – 16); Page 348 (21 – 24, 31, 32) Solve each of the following exponential equations a. 3(3x) + 9(3-x) = 28 b. e2x + 2ex – 15 = 0 7. Page 348 (1 – 4, 11 – 16) Solve each of the following exponential equations a. e2x = 7 b. 42x+3 = 5 8. Page 336 (17 – 24) Solve each of the following logarithmic equations a. log x + log (x – 1) = log 4x b. ln x – ln (x + 6) = ln (x – 1) – ln (x + 2) 9. Page 336 (25 – 34) Solve the following logarithmic equation: log3(x + 3) + log3(x + 5) = 1 10. Page 349 (55, 56) The amount (in grams) of radium 221 remaining in a sample after t seconds is given by: N(t) = 10e-.023t. After how many seconds will 2 grams remain?