Time: 50 minutes Show all steps for full marks. 1. The graph of a polynomial function is given, state: [4] a) the sign of its leading coefficient. bj if its degree is odd or even. rodd c) the minimum possible degree it could be d) the number of real zeros it has. Z. Given the equation of a polynomial function, /(x) = -2x* - 3x3 - 7x +9. (a) Which finite differences will be constant? [1] (b) State the value of its constant difference. [1] (c) Describe its end behavior at its extreme ends. [1] and as x- toy- (d) State the y-intercept of its graph. [1] 3. Which three polynomial functions below belong in the same family (cross out the polynomial function that does NOT belong)? [1] (x)= -2(x-2)x+ 1)(x + 3) (x] - (x-21x + 1)(x+ 3) 7(x)= (x-2Xx+ 1)'(x+3) 4. Which three polynomial functions below belong in the same family (cross out the polynomial function that does NOT belong)? [1]5. Given a base function of / (r) = x* and the transformation of the function given by the equation g(x) = -;/ [:(x - 4) + 8. Sketch the graph of function g [4] 6. Given the graph of a polynomial function, write an equation for the polynomial function that corresponds to the graph. [3] 7, Describe the relationship between the graph of y = x] + x and the graph of y = -3(12(x - 1)] + [2(x - 1)]') + 7. [4]a Write an equation of a polynomial function with zeros 2 (order 2), 1 - 5 (order 1) and 1 + 43 (order 1), and whose graph passes through ise point (3,5), express in simplest expanded form. 151 9. The table of values below represents a polynomial function. [4] (a) Determine Its degree. (b) Determine the value of its leading coefficient. 19 15