University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2020
Views:

449

Pages:

17
Author:

helyettitycx1

KEY Name Blockr Algebra 2/Trig Unit 4 - Parent Graphs Notes Packet -1 2 2 VI. Finding the Domain and Range: Interval Notation: 1. All real #'5 (-00,00) 2. Included→[] 3. NOT included Q () 4. Connecting Intervals (unioris) U From A Graph: Determine if the relation is a function, if so, find the domain and range. 1. 2. 3. (x - 5) ^ 2 + (y - 3) ^ 2 = 4 Panction? Domain: [3, 7] Range: [1,5] Line Segment Function? Yes Domain: Range: (-3,3] [-1,4) y - 2x - 3 Function? yes Domain: (- ∞, ∞) Rauge: (- ∞, ∞) 5. x = (x - 2) ^ 2 - 5 Function? yes Donuain: [- 5, ∞) Range (- ∞, ∞) x = - (x - 2) ^ 2 + 1 Function? NO Doumin: (- ∞, 1] Range: (- ∞, ∞) 6. y = - |x - 3| + 2 Function? Domain: (- ∞, ∞) Range: (- ∞, 2] Describe the transformations, domain and range and sketch the graph. 22. y = 1/3 * sqrt(x) wide 1/3 23. y = - (2/3 * x + 5) ^ 2 + 2 reflect x-axis wide by lef+ 5 up 2 2/3 24. y = (x - 2) ^ 3 + 3 right 2 up 3 D: [0, ∞) R int S x (0, ∞) N 26. D: (-00,00) R(- ∞, 2] 27. down 4 right I y = |x - 1| - 4 D / (- ∞, 20) * D / [- 4, 0) up 1 left 4 y = sqrt(x + 4) + 1 D / [- 4, ∞) R[1, ∞) reflect yaxIS left 2 upl y = (- x + 2) ^ 3 + 1 OR X-AXIS rlgh + 2 28. 29. 30. y = - (kappa - 2) ^ 3 + 1 p / (- ∞ + 0) RS(- 2Q, 0) refiect x-axis 1+f+ 2 up 3 y = - |x + 2| + 3 D: (- ∞, ∞) R / (- ∞, 3] right 2 down I narrow 3 y = 3 * (x - 2) ^ 2 - 1 D: (-00,00) R: [-1,00) reficct x-axis narrow 4 right 3 up 2 y = - 4 * (x - 3) ^ 2 + 2 D1-00,00) R 1 ( - ∞ ,2 rfloor