Please show your work

Name: Answer all questions and show your work. 1. Find the rational zeros of f(x) = x4 - x3 + x2 - 3x - 6. 2. Find all the zeros of f(x) = x4 - x3 + x2 - 3x - 6. 3. List all the possible zeros of f(x) = 6x3 - 4x2 + 3x - 2. 4. Find a fourth-degree polynomial function f with real coefficients that has -1, -1, and 3i as zeros. 5. Find all the zeros of f(x) = x4 - 3x3 + 6x2 + 2x - 60 given that 1 + 3i is a zero of f. 6. Find all vertical and horizontal asymptotes of the graph of each rational function. (a) f(x) = - 2x2 7:2 - 1 ( b ) f (2 ) = 2-+x - 2 x2 - x - 6 7. Sketch the grWorkaph of g(x) - 3 x - 2 8. Solve each inequality. (a) x2-x-6