778
Answer Key
29 . Function; a. Domain: all real numbers, range: y ≥0 b. x = ±1 c. y =1 d. −1< x <0 and 1< x <∞ e. −∞< x < −1 and 0< x <1 f. Not constant g. y -axis h. Even 31 . Function; a. Domain: all real numbers, range: −1.5≤ y ≤1.5 b. x =0 c. y =0 d. all real numbers e. None f. Not constant g. Origin h. Odd 33 . Function; a. Domain: −∞< x <∞, range: −2≤ y ≤2 b. x =0 c. y =0 d. −2< x <2 e. Not decreasing f. −∞< x < −2 and 2< x <∞ g. Origin h. Odd 35 . Function; a. Domain: −4≤ x ≤4, range: −4≤ y ≤4 b. x =1.2 c. y =4 d. Not increasing e. 0< x <4 f. −4< x <0 g. No Symmetry h. Neither 37 . a. 5 x 2 + x −8; all real numbers b. −5 x 2 + x −8; all real numbers c. 5 x 3 −40 x 2 ; all real numbers d. x −8 5 x 2 ; x ≠0 39 . a. −2 x +6; all real numbers b. −2 x 2 +2 x +12; all real numbers c. − x 4 +2 x 3 +12 x 2 −18 x −27; all real numbers d. − x +3 x +1 ; x ≠−1, 3 41 . a. 6+ 2 x ; x ≠0 b. 6; x ≠0 c. 6 x + 1 x 2 ; x ≠0 d. 6 x +1; x ≠0 43 . a. 4 x +3; all real numbers b. 4 x +15; all real numbers 45 . a. x 4 −6 x 2 +16; all real numbers b. x 4 +14 x 2 +46; all real numbers 47 . a. 3 x 4+ x ; x ≠0, −4 b. 4 x +2 3 ; x ≠ − 1 2 49 . a. Yes, because there is only one winner for each year. b. No, because there are three teams that won more than once during the years 2001 to 2012. 51 . a. V ( s ) = s 3 b. V (11.8) ≈ 1643; a cube of side length 11.8 each has a volume of approximately 1643 cubic units.
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