Worksheet D: (Topics 1.] 1.6) Polynomial Review Name: 1. Let j(x) = x2 (x2 + 4](.r 3)3 (I - 1). Which ofthe following statements about the zeros of f is correct? (A) f has 8 distinct real zeros. (E) f has four distinct real zeros. (C) f has three distinct real zeros and two non-real zeros. (D) f has six distinct real zeros and two non-real zeros. 2_ Let g(x)=2x2+5x12. On what intervals is g(_r)20'? (A) [%,4] (B) [41%] (C) [4.33] and [4,m) (D) (oo,4] and Boo] 3. The polynomial function n has zeros of x = 3(multiplicity on), x = 4{multiplicity of 3), x = 2i and x = 5 35. What is the least possible degree of h ? (A) 4 (B) 6 (C) 7 (D) 9 Graph of h 4. The graph of h is shown above. Which of the following statements about It is correct? (A) The rate of change of h is positive and decreasing. (B) The rate of change of h is negative and decreasing. (C) The function h is negative and decreasing. (D) The function h is negative and the rate of change of h is negative. Worksheet D: Topics 1.1 1.6 Polynomial Review Created by Bryan Passwater 5. Let k(x)=(x -9)(x+3) (x +6x+9). Which of the following statements about the zeros and multiplicities of k is correct? (A) k has zeros at x = -3 (multiplicity 5) and x = 3. (B) k has zeros at x = -3 (multiplicity 4), x = -9 and x = 9. (C) k has zeros at x = -3 (multiplicity 4) and x = 3 (multiplicity 2). D) k has zeros at x = -3 and x = 3 (multiplicity 5). X g (x) -7 -13 -5 -12 -3 -8 -1 -3 3 6. Selected values of the polynomial function g are shown in the table above. Which of the following statements pairs about g could be true? (A) g is an odd function and the graph of g is concave down. (B) g is an odd function and the graph of g is concave up. (C) g is an even function and the graph of g is concave down. D) g is an even function and the graph of g is concave up. X -6 4 -3 -2 N b 6 f(x) -4 -5 5 a 5 7. The table above shows values of the even function f at selected values of x. What is the value of a + b+ c? (A) -7 (B) -6 (C) 0 (D) 7 Worksheet D: Topics 1.1 - 1.6 Polynomial Review Created by Bryan PasswaterGraph of g 8. The graph of the function g is shown above. Which of the following statements about g is correct? (A) g is increasing at an increasing rate. (B) g is increasing at a decreasing rate. C) g is decreasing at an increasing rate. (D) g is decreasing at a decreasing rate. Graph of h 9. The graph of the function h is shown above. Which of the following statements about h is correct? (A) h is increasing at an increasing rate. (B) h is increasing at a decreasing rate. (C) h is decreasing at an increasing rate. (D) h is decreasing at a decreasing rate. O Graph of k 10. The graph of the function k is shown above. Which of the following statements about k is correct? (A) k is increasing at an increasing rate. (B) k is increasing at a decreasing rate. (C) k is decreasing at an increasing rate. (D) k is decreasing at a decreasing rate. Worksheet D: Topics 1.1 - 1.6 Polynomial Review Created by Bryan Passwater11. Let g(x) =4x -2x* + 3x-1. Which of the following limit statements about the end behavior of g is correct? (A) lim g(x) =-co and lim g(x) =-co (B) lim g(x) =-co and lim g(x) =0- (c) lim g(x) =co and lim g(x) =-co x-700 (D) lim g(x) = co and lim g(x) = 0- 12. Let h(x)=-2x(x-3) (x+4). Which of the following limit statements about the end behavior of h is correct? (A) lim h(x) = -co and lim h(x)=-o (B) lim h(x)=- and lim h(x) =co (C) lim h(x) =co and lim h(x) =-co (D) lim h(x) =co and lim h(x) =0. 13. Let the polynomial f be an odd function such that f (-4) =5 is the location of a local minimum. Which of the following statements must be true? (A) f(4) =-5 is the location of a local minimum. (B) f (4) = -5 is the location of a local maximum. (C) f(4) =5 is the location of a local minimum. (D) f (4) =5 is the location of a local maximum. h(x ) = 3x2 +1 , ifx