Section 3.5 4. Even 6. Odd 10. Neither 14. Given: g(x) = | x | and f(x) = | x - c | To find f(x): For c = -3, shift g(x) left 3 units For c = 1, shift g(x) right 1 unit For c = 3, shift g(x) right 3 units 16. Given: g(x) = 2x2 and f(x) = 2x2 - c to find f(x): For c = -4, shift g(x) up 4 units For c = 2, shift g(x) down 2 units For c = 4, shift g(x) down 4 units 32. (-1, -8) 38. graph of f horizontally stretched by 2 and shifted down 3 42. Given f(x) as drawn: a. shift f right 2 units b. shift f left 2 units c. shift f down 2 units d. shift f up 2 units e. reflect f through the x-axis and vertically stretch it by a factor of 2. f. reflect f through the x-axis and vertically compress it by a factor of 2. g. reflect f through the y-axis and horizontally compress it by a factor of 2. h. horizontally stretch f by a factor of 2. i. reflect f about the x-axis, shift it left 4 units and down 2 units. j. shift f right 4 units and up 2. 46. a. y = fx− 2()+ 2 b. y =− fx() c. y =− fx+ 4()+ 250. 52. 64. a. D = [-6, -2], R = [-5, -2] b. D = [-3, -1], R = [-10, -4] c. D = [-4, 0], R = [-5, 1] d. D = [-10, -6], R = [-11, -5] e. D = [2, 6], R = [-10, -4] f. D = [-6, -2], R = [4, 10] 66. ()⎪⎩⎪⎨⎧>−≤=000,500if 12500125.000,500 if 01.xxxxxT68. ()⎪⎪⎩⎪⎪⎨⎧>+≤<+≤≤=5000 if0511.000.1550001000 if 0532.050.410000 if0577.0xxxxxxxC Section 4.1 2. 20. f(x) > 0 if x < -4 or x > 1 f(x) < 0 if -4 < x < 0 or 0 < x < 1 a) b) -40-30-20-10010203040-6 -4 -2 0 2
View Full Document
Unlocking...