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1. Use the vertex and intercepts to sketch the graph of the quadratic function. f(x) = -x2 - 2x + 3 A) 2. Use the Rational Zero Theorem to list all possible rational zeros for the given function. f(x) = x5 - 3x2 + 5x + 5 C) ± 1, ± 5 3. Find the domain and range of the quadratic function whose graph is described. The vertex is (1, 14) and the graph opens down. B) Domain: (-∞, ∞) Range: (-∞, 14] 4.Use the vertex and intercepts to sketch the graph of the quadratic function. f(x) = -2(x + 5)2 - 3 B) 5.Find the range of the quadratic function. f(x) = 2x2 - 2x - 1 D) [- , ∞) 6.Find the y-intercept of the polynomial function. f(x) = (x - 2)2(x2 - 9) C) -36 7. Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) = (x - 1)2 - 1 A) (1, -1) 8. Graph the polynomial function. f(x) = 4x4 + 4x3 B) 9.Find the degree of the polynomial function. f(x) = 9x5 - 8x4 + 2 A) 5 10. Find the range of the quadratic function. f(x) = 6 - (x + 4)2 B) (-∞, 6] 11. Find the axis of symmetry of the parabola defined by the given quadratic function. f(x) = 6x2 - 12x - 4 D) x = 1 12. Divide using long division. (15x3 - 5) ÷ (3x - 1) B) 5x2 + x+ - 13. Find the degree of the polynomial function. h(x) = 10x - 5 D) 1 14. Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero. f(x) = 5(x + 7)(x + 6)3 D) -7, multiplicity 1, crosses x-axis; -6, multiplicity 3, crosses x-axis 15. Find the axis of symmetry of the parabola defined by the given quadratic function. f(x) = (x + 4)2 - 9 D) x = -4 16. Determine whether the function is a polynomial function. f(x) = 5x7 - x6 + x A) Yes 17. Graph the polynomial function. f(x) = 3x2 - x3 D) 18. Divide using long division. (-15x3 + 22x2 + 12x - 16) ÷ (5x - 4) A) -3x2 + 2x + 4 19. Find the y-intercept of the polynomial function. f(x) = 8x - x3 B) 0 20. Find the axis of symmetry of the parabola defined by the given quadratic function. f(x) = (x + 3)2 + 9 D) x = -3 21. Use the Rational Zero Theorem to list all possible rational zeros for the given function. f(x) = 6x4 + 4x3 - 3x2 + 2 A) ± ,± ,± ,± , ± 1, ± 2 22. Write the equation of a polynomial function with the given characteristics. Use a leading coefficient of 1 or -1 and make the degree of the function as small as possible. Touches the x-axis at 0 and crosses the x-axis at 4; lies below the x-axis between 0 and 4. D) f(x) = x3 - 4x2 23. Solve the polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational roots. x3 + 6x2 - x - 6 = 0 D) {1, -1, -6} 24. Divide using synthetic division. D) x3 - 2x2 - x + 5 - 25. Write the equation of a polynomial function with the given characteristics. Use a leading coefficient of 1 or -1 and make the degree of the function as small as possible. Crosses the x-axis at -2, 0, and 4; lies above the x-axis between -2 and 0; lies below the x-axis between 0 and 4. D) f(x) = x3- 2x2 - 8x 26. Use the Leading Coefficient Test to determine the end behavior of the polynomial function. f(x) = 3x3 + 3x2 - 5x - 5 A) falls to the left and rises to the right 27. Find the domain and range of the quadratic function whose graph is described. The maximum is 12 at x = -1 Domain: (-∞, ∞) Range: (-∞, 12] 28. Find the y-intercept of the polynomial function. f(x) = -x2(x + 4)(x - 9) A) 0 29. Find the range of the quadratic function. f(x) = x2 + 8x - 9 A) [-25, ∞) 30. Graph the polynomial function. f(x) = 7x - x3 - x5 B)