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Use a Graphing Utility to Select Correct Graph Of y1y _ { 1 }

Question 27

Multiple Choice

Use a graphing utility to select correct graph of y1y _ { 1 } and y2y _ { 2 } in the same viewing window.Use the graphs to determine whether y1=y2y _ { 1 } = y _ { 2 } .Explain your reasoning.​ y1=sin(x+6) ,y2=sin(x) +sin(6) y _ { 1 } = \sin ( x + 6 ) , y _ { 2 } = \sin ( x ) + \sin ( 6 )


A) ​  Use a graphing utility to select correct graph of  y _ { 1 }  and  y _ { 2 }  in the same viewing window.Use the graphs to determine whether  y _ { 1 } = y _ { 2 }  .Explain your reasoning.​  y _ { 1 } = \sin ( x + 6 )  , y _ { 2 } = \sin ( x )  + \sin ( 6 )   ​ A) ​   No,  y _ { 1 } = y _ { 2 }  because their graphs are different. B) ​   Yes,  y _ { 1 } = y _ { 2 }  because their graphs are different. C) ​   Yes,  y _ { 1 } = y _ { 2 }  because their graphs are same. D) ​   No,  y _ { 1 } \neq y _ { 2 }  because their graphs are Same. E) ​   No,  y _ { 1 } \neq y _ { 2 }  because their graphs are different. No, y1=y2y _ { 1 } = y _ { 2 } because their graphs are different.
B) ​  Use a graphing utility to select correct graph of  y _ { 1 }  and  y _ { 2 }  in the same viewing window.Use the graphs to determine whether  y _ { 1 } = y _ { 2 }  .Explain your reasoning.​  y _ { 1 } = \sin ( x + 6 )  , y _ { 2 } = \sin ( x )  + \sin ( 6 )   ​ A) ​   No,  y _ { 1 } = y _ { 2 }  because their graphs are different. B) ​   Yes,  y _ { 1 } = y _ { 2 }  because their graphs are different. C) ​   Yes,  y _ { 1 } = y _ { 2 }  because their graphs are same. D) ​   No,  y _ { 1 } \neq y _ { 2 }  because their graphs are Same. E) ​   No,  y _ { 1 } \neq y _ { 2 }  because their graphs are different. Yes, y1=y2y _ { 1 } = y _ { 2 } because their graphs are different.
C) ​  Use a graphing utility to select correct graph of  y _ { 1 }  and  y _ { 2 }  in the same viewing window.Use the graphs to determine whether  y _ { 1 } = y _ { 2 }  .Explain your reasoning.​  y _ { 1 } = \sin ( x + 6 )  , y _ { 2 } = \sin ( x )  + \sin ( 6 )   ​ A) ​   No,  y _ { 1 } = y _ { 2 }  because their graphs are different. B) ​   Yes,  y _ { 1 } = y _ { 2 }  because their graphs are different. C) ​   Yes,  y _ { 1 } = y _ { 2 }  because their graphs are same. D) ​   No,  y _ { 1 } \neq y _ { 2 }  because their graphs are Same. E) ​   No,  y _ { 1 } \neq y _ { 2 }  because their graphs are different. Yes, y1=y2y _ { 1 } = y _ { 2 } because their graphs are same.
D) ​  Use a graphing utility to select correct graph of  y _ { 1 }  and  y _ { 2 }  in the same viewing window.Use the graphs to determine whether  y _ { 1 } = y _ { 2 }  .Explain your reasoning.​  y _ { 1 } = \sin ( x + 6 )  , y _ { 2 } = \sin ( x )  + \sin ( 6 )   ​ A) ​   No,  y _ { 1 } = y _ { 2 }  because their graphs are different. B) ​   Yes,  y _ { 1 } = y _ { 2 }  because their graphs are different. C) ​   Yes,  y _ { 1 } = y _ { 2 }  because their graphs are same. D) ​   No,  y _ { 1 } \neq y _ { 2 }  because their graphs are Same. E) ​   No,  y _ { 1 } \neq y _ { 2 }  because their graphs are different. No, y1y2y _ { 1 } \neq y _ { 2 } because their graphs are Same.
E) ​  Use a graphing utility to select correct graph of  y _ { 1 }  and  y _ { 2 }  in the same viewing window.Use the graphs to determine whether  y _ { 1 } = y _ { 2 }  .Explain your reasoning.​  y _ { 1 } = \sin ( x + 6 )  , y _ { 2 } = \sin ( x )  + \sin ( 6 )   ​ A) ​   No,  y _ { 1 } = y _ { 2 }  because their graphs are different. B) ​   Yes,  y _ { 1 } = y _ { 2 }  because their graphs are different. C) ​   Yes,  y _ { 1 } = y _ { 2 }  because their graphs are same. D) ​   No,  y _ { 1 } \neq y _ { 2 }  because their graphs are Same. E) ​   No,  y _ { 1 } \neq y _ { 2 }  because their graphs are different. No, y1y2y _ { 1 } \neq y _ { 2 } because their graphs are different.

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