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The polynomial function P is given by P(x) = 3x(x + 1) (x - a), where a is a real number. Which of the following could be the graph of y = P (I) ? 2- A 3 - 2 3 -1+ -2- -3- B - 3 - 2 2 3C 3 -10 2 3 D -3 2 3 -2- -3-\fThe table gives values of a polynomial function @ for selected values of c. What is the degree of Q ? A 2 B C 4 D) CT\fThe graph of the polynomial function y = P (x) is shown. Which of the following could define P (I) ? A) P(c) = ( 12 B) P(x) = [-4)(r+3) 12 C P(r) = [itr-3 12 D) P(x) = [r+4)'(x-3) 12Question 4 The function Q is a polynomial of degree 3. If Q (5) = 0, which of the following must be true? (A) Q (-5) =0 B Q has two complex zeros. C Q (x) can be expressed as (x - 5) . P (x), where P (x) is a polynomial of degree 2. D Q (a) can be expressed as P(x) 75. where P (x) is a polynomial of degree 4.Question 5 The leading term of the polynomial function p is an ", where an is a real number and n is a positive integer. The factors of p include (x - 3), (x - i), and (x - (2 + i)). What is the least possible value of n ? A B C 5 D 6Question 6 a ? A polynomial function has the form p (r) = ar' + be*, where a and b are nonzero constants, j and & are nonnegative integers. Which of the following conditions guarantees that p is an even function? (A k =0 B j = 2k and k is even. C j + k is even. D j . k is even.Question 1 For a polynomial function f, lim f (x) = co and lim f (x) = -co. Which of the following must be true about f ? 2-+-00 2-+00 A The degree of f is even, and the leading coefficient is negative. B The degree of f is even, and the leading coefficient is positive. C The degree of f is odd, and the leading coefficient is negative. D The degree of f is odd, and the leading coefficient is positive.Question 2 For the polynomial function g, lim g (@) = -co. Which of the following expressions could define g () ? C+-00 A -5x - 2x B -5x- - 2x7 C 9000 - DQuestion 3 The function f is given by f () = -2x7 + 5x4+ 642 - 3. Which of the following correctly describes the end behavior of f as the input values increase without bound? A lim f (x) = 00 B lim f (x) = -00 2-+00 C lim f (x) = 00 T-4-00 D lim f (*) = -00 T-00Question 1 For the polynomial function g, the rate of change of g is increasing for a 2. Which of the following must be true? A The graph of g has a minimum at r = 2. B The graph of g has a maximum at a = 2. C The graph of g has a point of inflection at a = 2, is concave down for x > 2. D The graph of g has a point of inflection at a = 2, is concave up for a 2.Question 2 The polynomial function f is given by f (x) = (x - 4)(3x - 1)". Which of the following descriptions of f is true? A f is a polynomial of degree 2 with a leading coefficient of 3. B f is a polynomial of degree 2 with a leading coefficient of 9. f is a polynomial of degree 3 with a leading coefficient of 3. D f is a polynomial of degree 3 with a leading coefficient of 9.Question 3 -1 1 3 7 f (I) -36 0 4 0 12 Values of the polynomial function f for selected values of c are given in the table. If all of the zeros of the function f are given in the table, which of the following must be true? A The function f has a local minimum at (-1, -36). B The function f has a local minimum at (5, 0). C The function f has a local maximum at (3, 4). D The function f has a local maximum at (1, 0).Question 4 Graph of g The graph of the polynomial function g is shown. The function f is defined for 0 g :2: g 3 and is identical to the function g on that interval. How many metal local minima and local maxima does the function fhave? Two Four Five Seven Question 5 The polynomial function 1" is given by f (m) = out" + but" + 6:132 + do + k. where o 7:5 t] and E1, :3. d, and k are constants. Which of the following statements about I is true? I has both a global maximum and a global minimum. 0 I has either a global maximum or a global minimum, but not both. I has neither a global maximum nor a global minimum. @ The nature of a global maximum or a global minimum [or I cannot be determined without more information about b, c, of, and k. Question 6 Graph of f The graph of the polynomial function f is shown. How many points of inflection does the graph of f have on the given portion of the graph? A) One B) Three C Four (D) Five