the graph of f. en multiplicity, then the graph of f city, then the graph of f the x-axis. -hand and left-hand behavior + ? X- formation shown in the graph allows you arantee that f has a zero in the interval [x1, x]? ofeven or odd multiplicity? 10. f(x) x2 12. f(x) = 2x 14. f(x) 16. f(x) = 9. f(x) = -2x + 3 ns In ith its 11. f(x) =-2x2 5x 13. f(x) = + 3x2 15. f(x) = x4 +2x3 Library of Parent Functions In E sketch the graph of y x3 and the grap f. Describe the transformation from y to 12 17. f(x) = (x - 2)3 E8 19. f(x) = 18. f(x) = 20. f(x) = 22. f(x) - x3 + 1 21. f(x) -(x- 2) 11 8 nction J. . Can fbe a fourth-degree polynomial function? . Can the leading coefficient of f be negative? 7. The graph shows that f(x)< 0. What other information shown in the g to apply the Intermediate Value Theorem to guarantee that f has a zero 8. Is the repeated zero off in the interval [x, xof even or odd multiplic Procedures and Problem Solving 9. f(x 11. f(x 13. f(x 15. f( dentifying Graphs of Polynomial Functions In Exercises 9-16, match the polynomial function with its graph. [The graphs are labeled (a) through (h). (а) 4 (b) 12 -12 -4 5 sketch f.Des -2 -8 17. f (c) (d) 5 19. f 21. f # TA -6 -7 8 3 Com -2 -5 grap Yat (f) (e) 9 sam 4 righ gra beh ts -4 5 -7 8 23. -1 V. e -2 24 (g) 4 (h) 2 25. .8 26 -3 6 8 -5 4 27 -2 28 -4 LO LO LO
the graph of f. en multiplicity, then the graph of f city, then the graph of f the x-axis. -hand and left-hand behavior + ? X- formation shown in the graph allows you arantee that f has a zero in the interval [x1, x]? ofeven or odd multiplicity? 10. f(x) x2 12. f(x) = 2x 14. f(x) 16. f(x) = 9. f(x) = -2x + 3 ns In ith its 11. f(x) =-2x2 5x 13. f(x) = + 3x2 15. f(x) = x4 +2x3 Library of Parent Functions In E sketch the graph of y x3 and the grap f. Describe the transformation from y to 12 17. f(x) = (x - 2)3 E8 19. f(x) = 18. f(x) = 20. f(x) = 22. f(x) - x3 + 1 21. f(x) -(x- 2) 11 8 nction J. . Can fbe a fourth-degree polynomial function? . Can the leading coefficient of f be negative? 7. The graph shows that f(x)< 0. What other information shown in the g to apply the Intermediate Value Theorem to guarantee that f has a zero 8. Is the repeated zero off in the interval [x, xof even or odd multiplic Procedures and Problem Solving 9. f(x 11. f(x 13. f(x 15. f( dentifying Graphs of Polynomial Functions In Exercises 9-16, match the polynomial function with its graph. [The graphs are labeled (a) through (h). (а) 4 (b) 12 -12 -4 5 sketch f.Des -2 -8 17. f (c) (d) 5 19. f 21. f # TA -6 -7 8 3 Com -2 -5 grap Yat (f) (e) 9 sam 4 righ gra beh ts -4 5 -7 8 23. -1 V. e -2 24 (g) 4 (h) 2 25. .8 26 -3 6 8 -5 4 27 -2 28 -4 LO LO LO
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 2E: The quadratic function f(x)=a(xh)2+k is in standard form. (a) The graph of f is a parabola with...
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