Determining if a Function is Even or Odd QUESTIONS.docx
Document Details
Uploaded by UserFriendlyHeliotrope
Full Transcript
""study.com 6. Determine if the function f ( x) == x2 is Even, Odd, or Neither. � Even, since f(x) = f(-x) O Even, since f(x) = -f(-x) O Odd, since f(x) = -f(-x) O Neither, since f(x) -1- f(-x) and f(-x) -1- - f(x) 7. Determine if the function f ( x) == -x2 is Even, Odd, or Neith...
""study.com 6. Determine if the function f ( x) == x2 is Even, Odd, or Neither. � Even, since f(x) = f(-x) O Even, since f(x) = -f(-x) O Odd, since f(x) = -f(-x) O Neither, since f(x) -1- f(-x) and f(-x) -1- - f(x) 7. Determine if the function f ( x) == -x2 is Even, Odd, or Neither. � Even, since f(x) = f(-x) O Even, since f(x) = -f(-x) O Neither, since f(x) -1- f(-x) and f(-x) -1- -f(x) 0 Odd, since f(x) = -f(-x) 8. Determine if the function f ( x) == xs is Even, Odd, or Neither. � Odd, since f(x) = -f(-x) O Even, since f(x) = f(-x) O Odd, since f(x) = f(-x) O Neither, since f(x) -1- f(-x) and f(-x) -1- - f(x) 9. Determine if the function f ( x) == -xs is Even, Odd, or Neither. O Odd, since f(x) = f(-x) � Odd, since f(x) = -f(-x) O Neither, since f(x) -1- f(-x) and f(-x) -1- - f(x) O Even, since f(x) = f(-x) 10. Determine if the function f ( x) == x4 + x2 + x - 5 is Even, Odd, or Neither. � Neither, since f(x) -1- f(-x) and f(-x) -1- -f(x) O Odd, since f(x) = -f(-x) O Even, since f(x) = f(-x) O Even, since f(x) = -f(-x) 11. Determine if the function f ( x) == x10 is Even, Odd, or Neither. O Even, since f(x) = -f(-x) � Even, since f(x) = f(-x) O Neither, since f(x) -1- f(-x) and f(-x) -1- -f(x) O Odd, since f(x) = -f(-x) 12. Determine if the function f ( x) == 16 - x - x3 is Even, Odd, or Neither. O Odd, since f(x) = -f(-x) O Even, since f(x) = f(-x) � Neither, since f(x) # f(-x) and f(-x) # -f(x) O Even, since f(x) = -f(-x) 13. Determine if the function f { x) == -x2 - x4 is Even, Odd, or Neither. � Even, since f(x) = f(-x) O Odd, since f(x) = -f(-x) O Neither, since f(x) # f(-x) and f(-x) # -f(x) O Even, since f(x) = -f(-x) 14. Determine if the function f { x) == xs is Even, Odd, or Neither. � Odd, since f(x) = -f(-x) O Even, since f(x) = f(-x) O Odd, since f(x) = f(-x) O Neither, since f(x) # f(-x) and f(-x) # - f(x) 15. Determine if the function f ( x) == -xs is Even, Odd, or Neither. O Neither, since f(x) # f(-x) and f(-x) # -f(x) O Even, since f(x) = f(-x) O Odd, since f(x) = f(-x) � Odd, since f(x) = -f(-x) 16. Determine if the function f ( x) == 9 + x + x2 is Even, Odd, or Neither. � Neither, since f(x) # f(-x) and f(-x) # -f(x) O Odd, since f(x) = -f(-x) O Even, since f(x) = f(-x) O Odd, since f(x) = f(-x) 17. Determine if the function f ( x) == xz + x6 + x10 is Even, Odd, or Neither. O Odd, since f(x) = f(-x) � Even, since f(x) = f(-x) O Odd, since f(x) = -f(-x) O Neither, since f(x) # f(-x) and f(-x) # -f(x) 18. Determine if the function f ( x) == -x2 - x6 - x1O is Even, Odd, or Neither. O Neither, since f(x) -1- f(-x) and f(-x) -1- -f(x) � Even, since f(x) = f(-x) O Odd, since f(x) = -f(-x) O Odd, since f(x) = f(-x) 19. Determine if the function f ( x) == x + x3 + x5 is Even, Odd, or Neither. O Neither, since f(x) -1- f(-x) and f(-x) -1- -f(x) � Odd, since f(x) = -f(-x) O Even, since f(x) = f(-x) O Odd, since f(x) = f(-x) 20. Determine if the function f { x) == -x - x3 - x5 is Even, Odd, or Neither. O Neither, since f(x) -1- f(-x) and f(-x) -1- -f(x) O Odd, since f(x) = f(-x) O Even, since f(x) = f(-x) � Odd, since f(x) = -f(-x) 21. Determine if the function f ( x) == sin x + 2 is Even, Odd, or Neither. O Odd, since f(x) = f(-x) O Even, since f(x) = f(-x) � Neither, since f(x) -1- f (-x) and f(-x) -1- - f(x) O Odd, since f(x) = -f(-x) 22. Determine if the function f ( x) == sin( x2 is Even, Odd, or Neither. � Even, since f ( x) = f( -x) O Odd, since f(x) = -f(-x) O Even, since f(x) = -f(-x) O Neither, since f(x) -1- f(-x) and f(-x) -1- - f(x) 23. Determine if the function f { x) == sin( x3) is Even, Odd, or Neither. O Even, since f(x) = f(-x) O Odd, since f(x) = f(-x) O Neither, since f(x) -1- f(-x) and f(-x) -1- - f(x) � Odd, since f(x) = -f(-x) 24. Determine if the function f ( x) == sin( -x) is Even, Odd, or Neither. O Even, since f(x) = f(-x) � Odd, since f(x) = -f(-x) O Neither, since f(x) -1- f(-x) and f(-x) -1- -f(x) O Odd, since f(x) = f(-x) 25. Determine if the function f ( x) == sin( -x2 is Even, Odd, or Neither. � Even, since f (x) = f( -x) O Even, since f(x) = -f(-x) O Neither, since f(x) -1- f(-x) and f(-x) -1- - f(x) O Odd, since f(x) = -f(-x) 26. Determine if the function f { x) == sin( -x3) is Even, Odd, or Neither. O Even, since f(x) = f(-x) � Odd, since f(x) = -f(-x) O Neither, since f(x) -1- f(-x) and f(-x) -1- -f(x) 0 Odd, since f(x) = f(-x) 27. Determine if the function f(x) == cos(x) + sin(x) - 3 is Even, Odd, or Neither. O Even, since f(x) = f(-x) O Odd, since f(x) = f(-x) � Neither, since f(x) -1- f (-x) and f(-x) -1- - f(x) O Odd, since f(x) = -f(-x) 28. Determine if the function f ( x) == cos( -x) + x is Even, Odd, or Neither. � Neither, since f(x) -1- f(-x) and f(-x) -1- -f(x) O Even, since f(x) = f(-x) O Odd, since f(x) = f(-x) O Odd, since f(x) = -f(-x) 29. Determine if the function f { x) == cos( x2) is Even, Odd, or Neither. O Even, since f(x) = -f(-x) 0 Odd, since f(x) = -f(-x) O Neither, since f(x) -1- f(-x) and f(-x) -1- -f(x) � Even, since f(x) = f(-x) 30. Determine if the function f ( x) == cos( -x2) is Even, Odd, or Neither. O Odd, since f(x) = f(-x) � Even, since f ( x) = f( -x) O Neither, since f(x) -1- f(-x) and f(-x) -1- - f(x) O Odd, since f(x) = -f(-x)
