Please answer only the circled questions.

Section 1.3 Function Transformations and Graphs 73 Exercises For Exercises 1-14, assume f is the function defined on the 17 Suppose h is an odd function whose domain is interval [1, 2] by the formula f (x) = . 2. Thus the domain [-2, -1] U [1,2] and whose graph on the interval [1,2] of f is the interval [1, 2] and the range of f is the interval is the graph used in the instructions for Exercises 1-14. [1,4]. The graph of f is shown here. Sketch the graph of h on [-2, -1] U [1,2] 18 Suppose h is an odd function whose domain is [-5, -1] U [1,5) and whose graph on the interval [1, 5] The graph of the is the graph used in the instructions for Exercises 19-56. function f defined on Sketch the graph of h on [-5, -1] U [1,5]. the interval [1, 2] by f (x) = 2 For Exercises 19-56, assume f is a function whose domain is the interval [1, 5], whose range is the interval [1,3], and whose graph is the figure below. For each function g described below: )Sketch the graph of g. N (b) Find the domain of g (the endpoints of this inter- The graph of f. val should be shown on the horizontal axis of your sketch of the graph of g). 2 3 (c) Give a formula for g. (d) Find the range of g (the endpoints of this interval For each given function g: should be shown on the vertical axis of your sketch (a) Find the domain of g. of the graph of g). (b) Find the range of g. a- d 1 The graph of g is obtained by shifting the graph of f up (c) Sketch the graph of g. 1 unit. 2 The graph of g is obtained by shifting the graph of f up 19 g(x) = f(x) +1 39 8(x) = -f(x - 1) 3 units. 20 8(x) = f(x) +3 40 8(x) = -f(x -3) 3 The graph of g is obtained by shifting the graph of f (21 8(x) = f(x) - 3 41 8(x) = f(x +1)+2 down 3 units. 2 8(x) = f(x) -5 42 8(x) = f(x+2) +1 4 The graph of g is obtained by shifting the graph of f down 2 units. 23 8 (x) = 2f(x) 43 8(x) = f(2x) +1 5 The graph of g is obtained by vertically stretching the 24 8(x) = 2f(x) 44 8(x) = f(3x) +2 graph of f by a factor of 2. 25 )8(x) = f(x + 2) 15 8(x) = f(2x + 1) 6 The graph of g is obtained by vertically stretching the 26 8(x) = f(x+3) 46 8(x) = f(3x + 2) graph of f by a factor of 3. a-d 27 8(x) = f(x - 1) 7 The graph of g is obtained by shifting the graph of f left 47 8(x) = 3f(2x + 1) 3 units. 28 8(x) = f(x -2) 48 8(x) = 2f(3x + 2) 3 The graph of g is obtained by shifting the graph of f left 29 g(x) = f(2x) 19 8(x) = 2f(2+1) 4 units. 30 8(x) = f(3x) a -d 9 The graph of g is obtained by shifting the graph of f right 31 8(x) = f (2) 50 8(x) = 3f(*+2) 1 unit. 51 8(x) = 2f ( 2 +1) -3 10 The graph of g is obtained by shifting the graph of f right 32 8(x) = f(8 ) 3 units. 33 8(x) = 2f(x) +1 52 8(x) = 3f ( 5+2)+1 Q-11 The graph of g is obtained by horizontally stretching the 34 8(x) = 3f (x) +2 53 8 (x ) = 2f ( 2 +3 ) graph of f by a factor of 2. 12 The graph of g is obtained by horizontally stretching the 35 8(x) = 2f(x) -1 54 8(x) = 3f (5 -2) graph of f by a factor of 2. 36 8(x) = 3f(x) -2 13 The graph of g is obtained by flipping the graph of f 37 8(x) = 3-f(x) 55 8(x) = 6 -2f( 7+3) and across the horizontal axis. 38 8(x) = 2 -f(x) 56 8(x) = 1 -3f(5 -2) 14 The graph of g is obtained by flipping the graph of f across the vertical axis. For Exercises 57-60, suppose f is a function whose domain is 15 Suppose g is an even function whose domain is the interval [-5,5] and [-2, -1] U [1,2] and whose graph on the interval [1, 2] is the graph used in the instructions for Exercises 1-14. f (x) = - x + 3 Sketch the graph of g on [-2, -1] U [1, 2]. for every x in the interval [0, 5]. 16 Suppose g is an even function whose domain is [-5, -1] U [1,5) and whose graph on the interval [1,5] 57 Suppose f is an even function. Evaluate f (-2). is the graph used in the instructions for Exercises 19-56. 8 Suppose f is an even function. Evaluate f(-3). Sketch the graph of g on [-5, -1] U [1,5]. 59 )Suppose f is an odd function. Evaluate f(-2). 60 Suppose f is an odd function. Evaluate f(-3)