150exam1sp10ans

150exam1sp10ans - Midterm 1 Review Problems(Answers f(2 = 0...

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Midterm 1 – Review Problems (Answers) 5 ) ( , 3 ) 2 ( , 5 ) ( , ) 2 ( ) 2 ( ) 4 ( 3 ) ( , 3 2 ) 2 ( , 3 ) ( , 1 ) 2 ( ) 2 ( ) 3 ( 4 2 ) ( , 8 4 2 ) 2 ( , 4 ) ( , 25 . 0 ) 2 ( , 25 . 0 ) 2 ( ) 2 ( 4 4 4 2 ) ( , ) 2 ( , 4 4 ) ( , 16 ) 2 ( , 0 ) 2 ( ) 1 ( 2 2 2 2 2 2 2 2 + = + = + = = = + = + + = + = = = + + + + = + + + + = + + = = = + + + = + = + + + = = = h x h x f x x f x x f undefined f f h x h x f x x f x x f f f xh h x h x h x f x x x x f x x x f f f h x xh h x h x f x x f x x x f f f (5) Y (6) N (7) Y (8) Y (9) D=(- ∞,∞) R=[0, ∞) Intercept (0,0) (10) D=[-3,3) R=[0,3) Intercepts (0,0) and (-3,0) (11) D=(0,2] R=[0,1] Intercept (1,0) (12) D=(-3, ∞) R=[-1, ∞) Intercepts (0,2) and (-2,0) (13) Increasing; (- ∞, -1.29] U [1.29, ∞) Decreasing [-1.29,1.29] (14) Increasing; [-1.41,0] U [1.41, ∞) Decreasing (- ∞, -1.41] U [0,1.41] 1 1 1 ) 16 ( 4 12 1 ) 15 ( + + + a a a t (17) 2 3 (18) 3 (19) 3 1 (20) ( 1) x xx x ++ −− (21) (22) (23) (24)
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(25) f (1) = 2 (26) 5 247 6 36 f  = −   2 max (27) ( ) 7 12.25 (28) 3.06 4.66 Ax x x A = −+ = × (29) [3,5)U(5, ∞) 11 1 3 1 22 1 21 (30) 1 1 23 2 ( 3 1 ) () ; 2 1 (32) ( ) (33) ( ) 1 (34) ( ) 2 2 1 (35) ( ) 3 xx fg gf gg f f x x x f x g x x others possible x x fx x x x −− ++ = = = = + = = + + = =−= = +  Problem # ) ( x f ) ( 1 x f (32) Domain All Real numbers All Real numbers Range All Real numbers All Real numbers (33) Domain All Real numbers All Real numbers Range All Real numbers All Real numbers (34) Domain [0, ∞) [2, ∞) Range [2, ∞) [0, ∞) (35) Domain 3 x 0 x Range 0 y 3 y (36) Minimum (0,0) Decreasing (-2,0] Increasing [0,2) (37) Minimum (-1,0),(1,0) Maximum (0,1) Decreasing (-2,-1] U [0,1] Increasing [-1,0] U [1,2) (38) Minimum (0,0) Decreasing [-2,0] Increasing [0,2]
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This note was uploaded on 06/18/2010 for the course MATH 150 taught by Professor Unknown during the Spring '06 term at Ohio State.

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150exam1sp10ans - Midterm 1 Review Problems(Answers f(2 = 0...

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