Analyzing Radical and Rational Functions 1. The point (4, 10) is on the graph of the function f (x) = kv3(x -1) + 4. What is the value of k. 2. The point (4, y) is on the graph of f (x) = vx . The graph is transformed into g(x) by a horizontal stretch by a factor of 2, a reflection about the x-axis, and a translation up 3 units. Determine the coordinate of the corresponding point on the graph g(x). 3. This graph is of the function y = f(x). YA 6- Sketch the graph of y = vf(x) over y = f (xx ) the given graph. (0, 4) (4, 4) -4 2- 4 x (-4)-4) 4. a) Solve 3x - 1 = V2x2 + 2. b ) Identify any restrictions on the variable. C) Verify your solution. 5. Predict the locations of any vertical asymptotes, horizontal asymptotes, points of discontinuity, and intercepts for the function y = 2x2 + 7x - 4 x2 + x - 12 Give reasons for each prediction.6. Match each rational function to its graph. Give reasons for each choice. a) A(x) = x4 - 9x x2 X b) B(x) = x2 - 9 C) C(x) = x2 - 9 72 d) D(x) = x2 - 9x A B -10 -5 5 C D To 20