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SECTION 1.3 Pr s of Functios 75 25. 26. 27. 28. (2.2) (-1,2 (-23.0 2,1) ㄫㄨ 3 x (-3,-2)一 In Problems 29-32, the graph of a function f is given. Use the graph to find: (a) The numbers if any, at which f has a local maximum value. What are the local maximum values? (b) The numbers, if any, at which f has a local minimum value. What are the local minimum values? 29. 30. (0.3) πχ 4(-2,0) (2,0)43 (,0) (1.0)3 n Problems 33-44, determine algebraically whether each function is even, odd, or neither h(x)=3x3 + 5 37 F(x)- V Go)- v 39, f(x) =x + 1x1 4. Fx) In Problems 4s-52. for each graph of a function y -/C). ind the absolute maximum and the absolute minimum if they exist. ldenity any local maxima or local minima 46. 47. 4K.y (3.4) (2,4) 10.5 (0, 3) (3, 3) (4:3) (0,2) (2:2) (0.1 Do #30,40 , 50,60,70
m/eplayer/pdfbook?bookid 49132&userid 14999074&smsuserid-72458647&languageid-1&roletypeid Humanities | Rese.... UNICEF-SearchHabibas story: Ea... BHI Mechanisms of he... Academ Humanities Rese... UNICEF Search 76 76 CHATER 1 Functions and Their Graphs . Find the average rate of change of g(x)2x +. 67. g()-2 (a) Find the average rate of change from-2 to 1 (b) Find an equation of the secant line cont (a) From-3 to-2 (b) From-1 to 1 (c) From 1 to 3 (-2, g(-2)) and (1.g(1)). 64. Find the average rate of change of h(x)2-2 + 3 6 g(x) x +1 (a) Find the average rate of change from -1 to 2. (b) Find an equation of the secant line conta (a) From -1I to 1 (b) From 0 to 2 (c) From 2 to 5 f(x) =5x-2 (a) Find the average rate of change from I to 3. (b) Find an equation of the secant line containing (11(1)) (-1.g(-1) and (2.8(2)) 69. h(x) =x2-2x (a) Find the average rate of change from 2 to 4. (b) Find an equation of the secant line containing (2, and (3.1(3)) 66 (x) -4x + 1 and (4, h(4)) 70. h(x)-22 (a) Find the average rate of change from 2 to 5 (b) Find an equation of the secant line containing (2.1(2)) (a) Find the average rate of change from 0 to 3. (b) Find an equation of the secant line containing (O, h and (3, h(3)) and (5.f(5)) -Mixed Practice 71. gx)-27 A(c) Suppose the area under the graph of F between (a) Determine whether g is even.odd, or neither (b) There is a local minimum value of-54 at 3. Determine and x -3 that is bounded below by the x-axis is 4 square units. Using the result from part (a), determi the arca under the graph of F hetween3 a a local maximum valuc. O bounded below by the x-axis (a) Determine whether f is even, odd, or neither. (b) There is a local maximum value of 16 at 2. Determine 74. G()32144 (a) Determine whether G is even, odd, or neither a local minimum value. (b) Theresa local maximium value of 400al.= 4 Determin 73. F(x)=-r + 8x2 + 8 a second local maximum value (a) Determine whether F is even, odd, or neither (b) There is a local maximum value od 24atx 2. Determine Δ (c) Suppose the arca under the graph of G between x . and x6 that is bounded below by the x-axis is 1612a square units Using the result from part (a), determins a second local maximum valuc the area under the graph of G between a6and bounded helow by the x-axis Applications and Extensions 75. Minimum Aserage Cast The average cost per hour in dollars, producing r nding lawn nsowers can he modeled by the function reptcsent the US deht for the years 2001-2012. Since the deht D depends on the year v. anid cach input correspond to exacily one outgut. the deht is a tunction of the year. Thus Do Nprcsents the debt for each year y (a) Use a graphing utility to graph Co) (b) Determine the number of riding Lawn mowers toproduce Debt (billions of dollars Debt (billions of dollars) 9008 Year Year 5807 2007
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