UNIT 7: Rational and Composite Functions Sketching/Written Assignment Lesson 7.1: Exploring Rational Functions 1. Sketch the graph of the rational function, } = x + 2 3 - 4, using transformations and identify the following: . non-permissible values: . domain: . range: 8 -5 4 -3 -2 -1 . equation of vertical asymptote: . equation of horizontal asymptote: (6 marks) Lesson 7.2: Analyzing Rational Functions 1. Sketch the graph of the rational function, y = x(x + 2) x2-x-6 _ 4, using transformations and identify the following: non-permissible values: . domain: . range: 5 4 -3 -2 -1 7 3 4 5 6 . equation of vertical asymptote: . equation of horizontal asymptote: . point of discontinuity (6 marks)Lesson 7.4: Sums and Differences of Functions 1. Use the graphs of f{x) and g(x) to draw the graph of the following. State the domain and range for h(x) and p(x). (3 marks) a h(x)=(+9)x * domain; b. plx) = (f - g)(x) * domain; Lesson 7.5: Products and Quotients of Functions 1. Given f(x) = x 3 and g(x) = 2x + 2, state the function and graph h(x) = (f - g)(x). State the domain and range of the combined function. (4 marks) 2. Given f(x) = tanx and g(x) = sin x, state the function and graph h{x) = [x). State the domain and range of the combined function. (4 marks)