College Algebra

Use the given function to complete parts a) through e) below. f(x) = - 4(x - 1)? (x2 - 4) a) Use the Leading Coefficient Test to determine the graph's end behavior. b) Find the x-intercepts. c) Find the y-intercept by computing f(0). d) Determine the symmetry of the graph. e) Determine the graph of the function. 2 Use synthetic division and the Remainder Theorem to find the indicated function value. f (x) = 3x - 11x2+ 7x- 7; f(2) Use synthetic division and the Remainder Theorem to find the indicated function value. W f (x ) = x#+5x +3x2-6x- 3; f(6) 4 Use synthetic division to divide f(x) = x3- 2x2 - 23x + 60 by x - 4. Use the result to find all zeros of f. Solve the equation x + 2x2 - 5x - 6 =0 given that 2 is a zero of f(x) = x + 2x2 - 5x - 6. The solution set is { (Use a comma to separate answers as needed.) Use the graph to determine a solution of the equation. Use synthetic division to verify that this number is a solution of the 125 y =x3 + 6x2 - 16x -96 equation. Then solve the polynomial equation. 51 x3 +6x2 - 16x - 96= 0 125 [0, 5, 1] by [- 125, 125, 25] Which solution of the equation can be determined from the graph? The solution is