Use the graph of y = f(x), assuming f''(x) < 0 if x = d and f''(x) > 0 if x = f, to answer parts (A) through (F). y MANLA a e gh (A) Identify intervals on which the graph of f is concave upward. Choose the correct answer below. ○ A. (e.g) ○ C. (a,c); (c,e);(g,h) ○ E. (de);(g,h) G. The graph is never concave upward. ○ B. (a,b); (de);(g,h) D. (b,c); (c,e): (g,h) ○ F. (a,b); (e.g) ○ H. (a,c); (c,d); (e,g) (B) Identify intervals on which the graph of f is concave downward. Choose the correct answer below. ○ A. (b,c); (c,e);(g,h) ○ C. (a,c); (c,e);(g,h) ○ B. (e.g) O D. (d,e);(g,h) ○ E. (b,c); (c,d); (e,g) O G. (a,b);(e.g) (C) Identify intervals on which f'(x) <0. Choose the correct answer below. ○ A. (e.g) ○ C. (a,c); (c,d);(e,g) ○ E. (a,c); (c,e);(g,h) ○ G. (a,b); (e,g) (D) Identify intervals on which f''(x) > 0. Choose the correct answer below. ○ A. (a,c); (c,d);(e,g) ○ C. (a,b);(d,e);(g,h) ○ E. (a,b);(e.g) ○ G. (b,c); (c,e);(g,h) O F. (a,c); (c,d);(e,g) ◇ H. The graph is never concave downward. B. (d,e);(g,h) D. (b,c); (c,d):(e,g) F. (b,c); (c,e);(g,h) OH. f''(x)≥0 over (a,h) B. (d,e);(g,h) D. (a,c); (c,e);(g,h) F. (e.g) OH. f''(x) ≤ 0 over (a,h) (E) Identify intervals on which f'(x) is increasing. Choose the correct answer below. ○ A. (b,c); (c,e); (g,h) ○ C. (a,b);(e,g) ○ E. (d,e);(g,h) ○ G. (a,b);(d,e);(g,h) B. (a,c); (c,d);(e,g) ○ D. (e.g) ○ F. (a,c); (c,e); (g,h) O H. f'(x) is never increasing on (a,h) (F) Identify intervals on which f'(x) is decreasing. Choose the correct answer below. ○ A. (a,c); (c,d); (e,g) ○ C. (a,c); (c,e); (g,h) ○ E. (b,c); (c,e); (g,h) ○ G. (d,e); (g,h) ○ B. (a,b); (e.g) ○ D. (e.g) ○ F. (b,c); (c,d); (e,g) OH. f'(x) is never decreasing on (a,h)
Use the graph of y = f(x), assuming f''(x) < 0 if x = d and f''(x) > 0 if x = f, to answer parts (A) through (F). y MANLA a e gh (A) Identify intervals on which the graph of f is concave upward. Choose the correct answer below. ○ A. (e.g) ○ C. (a,c); (c,e);(g,h) ○ E. (de);(g,h) G. The graph is never concave upward. ○ B. (a,b); (de);(g,h) D. (b,c); (c,e): (g,h) ○ F. (a,b); (e.g) ○ H. (a,c); (c,d); (e,g) (B) Identify intervals on which the graph of f is concave downward. Choose the correct answer below. ○ A. (b,c); (c,e);(g,h) ○ C. (a,c); (c,e);(g,h) ○ B. (e.g) O D. (d,e);(g,h) ○ E. (b,c); (c,d); (e,g) O G. (a,b);(e.g) (C) Identify intervals on which f'(x) <0. Choose the correct answer below. ○ A. (e.g) ○ C. (a,c); (c,d);(e,g) ○ E. (a,c); (c,e);(g,h) ○ G. (a,b); (e,g) (D) Identify intervals on which f''(x) > 0. Choose the correct answer below. ○ A. (a,c); (c,d);(e,g) ○ C. (a,b);(d,e);(g,h) ○ E. (a,b);(e.g) ○ G. (b,c); (c,e);(g,h) O F. (a,c); (c,d);(e,g) ◇ H. The graph is never concave downward. B. (d,e);(g,h) D. (b,c); (c,d):(e,g) F. (b,c); (c,e);(g,h) OH. f''(x)≥0 over (a,h) B. (d,e);(g,h) D. (a,c); (c,e);(g,h) F. (e.g) OH. f''(x) ≤ 0 over (a,h) (E) Identify intervals on which f'(x) is increasing. Choose the correct answer below. ○ A. (b,c); (c,e); (g,h) ○ C. (a,b);(e,g) ○ E. (d,e);(g,h) ○ G. (a,b);(d,e);(g,h) B. (a,c); (c,d);(e,g) ○ D. (e.g) ○ F. (a,c); (c,e); (g,h) O H. f'(x) is never increasing on (a,h) (F) Identify intervals on which f'(x) is decreasing. Choose the correct answer below. ○ A. (a,c); (c,d); (e,g) ○ C. (a,c); (c,e); (g,h) ○ E. (b,c); (c,e); (g,h) ○ G. (d,e); (g,h) ○ B. (a,b); (e.g) ○ D. (e.g) ○ F. (b,c); (c,d); (e,g) OH. f'(x) is never decreasing on (a,h)
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
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Problem 9CR
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