1. Given f(x) = 3x2 - 2x - 4 Determine, without graphing, whether the function has a minimum or a maximum value Find the maximum or the minimum value of f(x) C) Give equation of the parabola's axis of symmetry d ) Complete the square for the given f(x) and write equation of the parabola in the standard form e ) Graph parabola Show the vertex, X-intercepts and y-intercept g ) State the parabola's domain and range 2. For the function f(x) = x3 + 4x2 + 4x Is f(x) a polynomial function? Explain. Use the Leading Coefficient Test to determine the end behavior of the graph of this function Find the zeros of the f(x) and give multiplicity for each zero. State whether the graph crosses the x-axis, or touches the x-axis and turns around at each zero d Use the Intermediate Value Theorem to show that this polynomial has a real zero between the integers -1 and I Find the x-intercepts Find the y-intercepts Determine whether the graph has y-axis symmetry, origin symmetry, or neither If necessary, find a few additional points and graph the function. Use the maximum number of turning points to check whether it is drawn correctly. 3. Given, f(x) = 4x3 + 5x2 - 6x - 4 Use synthetic division and the Remainder Value Theorem to find f(-2) 4. Given equation, x' - 5x2 +17x - 13 = 0, a ) Use the Descrates' Rule of signs to determine possible number of positive and negative real roots for the given equation. b ) List all possible rational zeros C) Use synthetic division to test the possible rational zeros and find actual zero d) Use the quotient from part c) to find the remaining zeros of the given expression. 5. Find results of the product, sum and quotient of the complex numbers below. (3 - 1) * (7 + 41) + (-3 + 81) + (2 + i) - 3-41 = 4+ 3i