7-45 (Odd-numbered, except for 17, 19, 21, 27, 29, 35, 37, 39, 41;pp.215-216)

215 SECTION 2.3 Getting information from the Graph of a Function 5 Graphically Graphs ul' . . Q . . . . determine the values ol ,r at which the grapl - 9. Solvmg Equations and lnequalme the functions f and 5/ are given. ( intersect. Graph f and y below. and use the graphs to solve the equation. The solution is .r I i,\" t\") Which 1' larger. I'm) or Hi0)? (bl Which is larger, \"73) ur r/(er3)? (c) For which values tilt is f(x) = (/01)? ((1) Find the values of x for which f(x) 5 \"(x). to) Find the values of x for which [(4') > g(x). 'lS ol' f and g (b) To solve the inequality 2x + l gtx). (c) Find the values of x for which h(x) : 3. (d) Find the values ofx for which h(x) S 3. (8) Find the net change in [1 between x = '3 and x = 3. )'L 1116 I Domain and Range from a Graph A function f is given, (a) Sketch a graph of f. (1)) Use the graph to nd the 8. Values of a Function _ (21) Find 9('4)~ g( 2), 9(0), 9(2), and 9(4). domain and range of f. (b) Find the domain and range of g. 11- fix) : 2X + 3 12. f(X) = 3x n 2 (c) Find the values of x for which g(x) = 3. The graph of a function g is given. 13. f(x)=x2, 2x_<_5 estimate the values ofx for which x s f _ find net change in between and t y j g w. i finding domain range graphically a function . is given. use graphing calculator to draw graph of f. fem j_ from graph. l vx v16 x2 option chapter functions solving equations inequalities local maximum minimum solve given equation or inequality graphically. following. all x-2>4-x and the value of x at which each occurs. (b) The intervals on 24. (a) -2x + 3 = 3.x - 7 (b) -2x + 3 5 3x - 7 which the function is increasing and on which the function is 25. (a) x2 = 2 - x (b) x252 - x decreasing. 44. 26. (a) -x2 = 3 - 4x (b) -x2 23 - 4x 43. 27-30 = Solving Equations and Inequalities Graphically Solve the given equation or inequality graphically. State your answers rounded to two decimals. 27. (a) x3+ 3x2 = -x2 + 3x + 7 (b) x3+ 3x2 2 -x2 + 3x + 7 28. (a) 5x2 - x3 = -x2+ 3x +4 ( b ) 5x2 - x3 5 - x2 + 3x + 4 29. (a) 16x3 + 16x2 = x + 1 (b) 16x3 + 16x2 2 x + 1 45. 30. (a) 1 + Vx = Vx2+ 1 (b) 1 + V x> Vx2+1 31-34 Increasing and Decreasing The graph of a function f is given. Use the graph to estimate the following. (a) The domain and range of f. (b) The intervals on which f is increasing and on which f is decreasing 31. 47-54 . Local Maximum and Minimum Values A function is given. (a) Find all the local maximum and minimum values of the function and the value of x at which each occurs. State each answer rounded to two decimal places. (b) Find the intervals on which the function is increasing and on which the function is 33. 34. decreasing. State each answer rounded to two decimal places. 2 47. f(x) = x3 - x 48. f( x ) = 3+ x + x 2 - x3 49. g(x) = x4 - 2x3 - 11x2 50. g(x) = x5 - 8x3 + 20x 51. U(x) = xV6 -x to riging onT noinul s to soulsV .8 35-42 . Increasing and Decreasing A function f is given. 52. U(x ) = xVx -x2 a) Use a graphing calculator to draw the graph of f. (b) Find the .9 to sensi bus nismob sill bait (d) domain and range of f. (c) State approximately the intervals on 53. V(x) 1 - x 2 508 doidw rol as To youlev ord bard () which f is increasing and on which f is decreasing. x 3 amid (b) 35. f(x) = x2 - 5x 54. V(x) = - 36 . f (x ) = x3 - 4x x 2 +x + 1 E - 60)1 .01 37 . f ( x ) = 2x3 - 3x2 - 12x APPLICATIONS 38 . f ( x ) = x4 - 1612 gaibail a ss-FI 55. Power Consumption The figure shows the power consump- 39 . f ( x ) = 13+ 2x2 - x - 2 tion in San Francisco for a day in September (P is measured 40. f ( x ) = x4- 4x3 + 2x2 + 4x - 3 in megawatts; t is measured in hours starting at midnight). 41. f(x ) = x2/5 er (a) What was the power consumption at 6:00 A.M.? 42. f (x ) = 4-x2/3 At 6:00 P.M.? (b) When was the power consumption the lowest