2. polynomial function; term is 2 or 2 . 10. x2 x, x3 ⋅ ⋅ degree: 4 Since 0 and is odd, the graph falls to the left an n > and rises to the right. 3. polynomial function; ( f degree: 5 2( 2)2 ( 3) 0 x x + − = x) 4. polynomial function; or 3 x x = −2 = degree: 7 The are and 3. x-intercepts = –2 5. not a polynomial function 2( (0) 2(0 2)2 (0 3) f = + − = −12 The is y-intercept –12. x 6. not a polynomial function + 2)2 7. not a polynomial function ((−x) ((−x) (−x) 2 2)2 3) f = + − ( x (−x (−x 2 2)2 8. not a polynomial function = + − 3) − 9. not a polynomial function No symmetry. 3) 10. polynomial function; The Exercise Set 2.3 degree: 2 1. polynomial function; 11. polynomial function degree: 3 12. Not a polynomial function because graph is not smooth. Concept and Vocabulary Check 2.3 13. Not a polynomial function because graph is not 1. 5; −2 continuous. 2. false 14. polynomial function 3. end; leading 15. (b) 4. falls; rises 16. (c) 5. rises; falls 17. (a) 6. rises; rises 18. (d) 7. falls; falls ( 5x3 7 9 19. f x) x2 x = + − + Since > 0 and is odd, the graph of falls to the an n f(x) true 8. left and rises to the right. 9. true ( 11x3 6 3 f x) x2 x = − + + 20. Since > 0 and is odd, the graph of falls to the an n f(x) 10. x-intercept left and rises to the right. 11. turns around; crosses ( 5x4 7 9 f x) x2 x = + − + 12. 0; Intermediate Value Since > 0 and is even, the graph of rises to an n f(x) 21. 13. to the n −1 the left and
10. f ( x) = 2( x + 2)2 ( x − 3) The term is 2 ⋅ x2 ⋅ x, or 2 x3 . Since an > 0 and n is odd, the graph falls to the left and rises to the right. 2( x + 2)2 ( x − 3) = 0 x = −2 or x = 3 The x-intercepts are –2 and 3. f (0) = 2(0 + 2)2 (0 − 3) = −12 The y-intercept is –12. f (−x) = 2 ((−x) + 2)2 ((−x) − 3) = 2 (−x + 2)2 (−x − 3) No symmetry. Exercise Set 2.3 1. polynomial function; degree: 3 2. polynomial function; degree: 4 3. polynomial function; degree: 5 4. polynomial function; degree: 7 5. not a polynomial function 6. not a polynomial function 7. not a polynomial function 8. not a polynomial function 9. not a polynomial function 10. polynomial function; degree: 2 11. polynomial function Concept and Vocabulary Check 2.3 1. 5; −2 2. false 3. end; leading 4. falls; rises 5. rises; falls 6. rises; rises 12. Not a polynomial function because graph is not smooth. 13. Not a polynomial function because graph is not continuous. 14. polynomial function 15. (b) 16. (c) 17. (a) 18. (d) 7. falls; falls 8. true 9. true 10. x-intercept 11. turns around; crosses 12. 0; Intermediate Value 19. 20. 21. f ( x) = 5x3 + 7 x2 − x + 9 Since an > 0 and n is odd, the graph of f(x) falls to the left and rises to the right. f ( x) = 11x3 − 6 x2 + x + 3 Since an > 0 and n is odd, the graph of f(x) falls to the left and rises to the right. f ( x) = 5x4 + 7 x2 − x + 9 Since an > 0 and n is even, the graph of f(x) rises to 13. n −1 the left and to the
Precalculus-Essentials-5th-Edition-Blitzer-Solutions-Manual.docx