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calculus1-3c

# Thomas' Calculus, Early Transcendentals, Media Upgrade (11th Edition)

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Section 1.3 Combining Functions; Shifting and Scaling Graphs 23 81. (a) (b) (c) (d) 82. 83. A 2, B 2 , C , D 1 œ œ œ œ 1 1

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24 Chapter 1 Functions 84. A , B 2, C 1, D œ œ œ œ " " # # 85. A , B 4, C 0, D œ œ œ œ 2 1 1 " 86. A , B L, C 0, D 0 œ œ œ œ L 2 1 87-90. Example CAS commands: Maple f := x -> A*sin((2*Pi/B)*(x-C))+D1; A:=3; C:=0; D1:=0; f_list := [seq( f(x), B=[1,3,2*Pi,5*Pi] )]; plot( f_list, x=-4*Pi..4*Pi, scaling=constrained, color=[red,blue,green,cyan], linestyle=[1,3,4,7], legend=["B=1","B=3","B=2*Pi","B=3*Pi"], title="#67 (Section 1.6)" ); Mathematica Clear[a, b, c, d, f, x] f[x_]:=a Sin[2 /b (x c)] + d 1 Plot[f[x]/.{a 3, b 1, c 0, d 0}, {x, 4 , 4 }] Ä Ä Ä Ä 1 1 87. (a) The graph stretches horizontally. (b) The period remains the same: period B . The graph has a horizontal shift of period. œ l l " #
Section 1.4 Graphing with Calculators and Computers 25 88. (a) The graph is shifted right C units. (b) The graph is shifted left C units. (c) A shift of

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calculus1-3c - Section 1.3 Combining Functions Shifting and...

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