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(Answers for Chapter 1: Functions) A.1.1 CHAPTER 1: Functions SECTION 1.1: FUNCTIONS 1) fx () = ± x 2) = x 3) Input x Output ± 1 3 0 4 1 5 2 6 + 4 ± + 4 10/3 22/3 4.7 8.7 c c + 4 a + h a + h + 4 4) Input x Output ± 1 ± 2 0 0 1 2 2 4 2 10/3 20/3 4.7 9.4 c 2c a + h 2 a + h , or 2 a + 2 h 5) Input t Output gt ± 2 27 ± 1 15 0 5 1 ± 3 2 ± 9 c c 2 ± 9 c + 5 6) Input r Output hr ± 2 ± 7 ± 1 8 0 9 1 8 2 ± 7 c 9 ± c 4

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(Answers for Chapter 1: Functions) A.1.2 7) Input r Output Vr () 1 4 ± 3 2 32 3 5/2 125 6 c 4 3 c 3 is the volume of a sphere of radius r . 8) Input x Output fx 1 7 2 7 5/2 7 c 7 9) a) ± b) graphical form c) interval form ±² , ² 10) a) set-builder form x ± ± x ² 4 {} , or x ± ± : x ² 4 b) graphical form c) interval form ,4 ³ 4, ² 11) a) set-builder form t ± ± t ²³ 3 , or t ± ± : t 3 b) graphical form c) interval form , ± 3 ³± 3 , ²
(Answers for Chapter 1: Functions) A.1.3 12) a) set-builder form t ± ± t ² 0 and t ³ 1 2 ´ µ · ¸ ¹ º · , or t ± ± : t ² 0 and t ³ 1 2 ´ µ · ¸ ¹ b) graphical form c) interval form 0, 1 2 ± ² ³ ´ µ · 1 2 , ¸ ¹ º » ´ µ 13) a) set-builder form x ± ± x ²³ 2 {} , or x ± ± : x 2 b) graphical form c) interval form ± 2, ² ³ ´ ) 14) a) ± b) graphical form c) interval form ±² , ² () 15) a) set-builder form x ± ± x > ² 2 , or x ± ± : x > ² 2 b) graphical form

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