Determining if a Function is Even or Odd QUESTIONS.pdf

10/7/23, 8:06 PM Determining if a Function is Even or Odd Student: How to Tell if a Function is Even or Odd https://study.com/skill/learn/how-to-tell-if-a-function-is-even-or-odd-explanation.html 1. Determine if the function f (x) 2 = x is Even, Odd, or Neither. + 5 Neither, since f (x) ≠ f...

10/7/23, 8:06 PM Determining if a Function is Even or Odd Student: How to Tell if a Function is Even or Odd https://study.com/skill/learn/how-to-tell-if-a-function-is-even-or-odd-explanation.html 1. Determine if the function f (x) 2 = x is Even, Odd, or Neither. + 5 Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Even, since f (x) = f (−x) Odd, since f (x) = −f (−x) Even, since f (x) = −f (−x) 2. Determine if the function f (x) = x + 15 is Even, Odd, or Neither. Odd, since f (x) = −f (−x) Even, since f (x) = f (−x) Odd, since f (x) = f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) 3. Determine if the function f (x) 7 = x is Even, Odd, or Neither. Even, since f (x) = f (−x) Odd, since f (x) = f (−x) Odd, since f (x) = −f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) 4. Determine if the function f (x) 3 = x − 15 is Even, Odd, or Neither. Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Even, since f (x) = f (−x) Even, since f (x) = −f (−x) Odd, since f (x) = −f (−x) 5. Determine if the function f (x) 4 = x 3 + x + 10 is Even, Odd, or Neither. Even, since f (x) = −f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Even, since f (x) = f (−x) Odd, since f (x) = −f (−x) https://study.com/skill/print/practice/determining-if-a-function-is-even-or-odd-questions.html 1/6 10/7/23, 8:06 PM 6. Determine if the function f (x) Determining if a Function is Even or Odd is Even, Odd, or Neither. 2 = x Odd, since f (x) = −f (−x) Even, since f (x) = −f (−x) Even, since f (x) = f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) 7. Determine if the function f (x) 2 = −x is Even, Odd, or Neither. Odd, since f (x) = −f (−x) Even, since f (x) = f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Even, since f (x) = −f (−x) 8. Determine if the function f (x) is Even, Odd, or Neither. 3 = x Odd, since f (x) = f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Even, since f (x) = f (−x) Odd, since f (x) = −f (−x) 9. Determine if the function f (x) 3 = −x is Even, Odd, or Neither. Even, since f (x) = f (−x) Odd, since f (x) = f (−x) Odd, since f (x) = −f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) 10. Determine if the function f (x) 4 = x 2 + x + x − 5 is Even, Odd, or Neither. Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Odd, since f (x) = −f (−x) Even, since f (x) = −f (−x) Even, since f (x) = f (−x) 11. Determine if the function f (x) 10 = x is Even, Odd, or Neither. Odd, since f (x) = −f (−x) Even, since f (x) = f (−x) Even, since f (x) = −f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) https://study.com/skill/print/practice/determining-if-a-function-is-even-or-odd-questions.html 2/6 10/7/23, 8:06 PM 12. Determine if the function f (x) Determining if a Function is Even or Odd 3 = 16 − x − x is Even, Odd, or Neither. Odd, since f (x) = −f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Even, since f (x) = f (−x) Even, since f (x) = −f (−x) 13. Determine if the function f (x) 2 = −x 4 − x is Even, Odd, or Neither. Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Even, since f (x) = −f (−x) Even, since f (x) = f (−x) Odd, since f (x) = −f (−x) 14. Determine if the function f (x) 5 = x is Even, Odd, or Neither. Odd, since f (x) = −f (−x) Odd, since f (x) = f (−x) Even, since f (x) = f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) 15. Determine if the function f (x) 5 = −x is Even, Odd, or Neither. Odd, since f (x) = −f (−x) Odd, since f (x) = f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Even, since f (x) = f (−x) 16. Determine if the function f (x) 2 = 9 + x + x is Even, Odd, or Neither. Odd, since f (x) = f (−x) Odd, since f (x) = −f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Even, since f (x) = f (−x) 17. Determine if the function f (x) 2 = x 6 + x 10 + x is Even, Odd, or Neither. Odd, since f (x) = −f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Odd, since f (x) = f (−x) Even, since f (x) = f (−x) https://study.com/skill/print/practice/determining-if-a-function-is-even-or-odd-questions.html 3/6 10/7/23, 8:06 PM 18. Determine if the function f (x) Determining if a Function is Even or Odd 2 = −x 6 − x 10 − x is Even, Odd, or Neither. Odd, since f (x) = f (−x) Odd, since f (x) = −f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Even, since f (x) = f (−x) 19. Determine if the function f (x) 3 = x + x 5 + x is Even, Odd, or Neither. Even, since f (x) = f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Odd, since f (x) = f (−x) Odd, since f (x) = −f (−x) 20. Determine if the function f (x) 3 = −x − x 5 − x is Even, Odd, or Neither. Even, since f (x) = f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Odd, 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. Even, since f (x) = f (−x) Odd, since f (x) = −f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Odd, since f (x) = f (−x) 22. Determine if the function f (x) 2 = sin(x ) is Even, Odd, or Neither. Odd, since f (x) = −f (−x) Even, since f (x) = −f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Even, since f (x) = f (−x) 23. Determine if the function f (x) 3 = sin(x ) is Even, Odd, or Neither. Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Odd, since f (x) = f (−x) Even, since f (x) = f (−x) Odd, since f (x) = −f (−x) https://study.com/skill/print/practice/determining-if-a-function-is-even-or-odd-questions.html 4/6 10/7/23, 8:06 PM 24. Determine if the function f (x) Determining if a Function is Even or Odd = sin(−x) is Even, Odd, or Neither. Odd, since f (x) = f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Odd, since f (x) = −f (−x) Even, since f (x) = f (−x) 25. Determine if the function f (x) 2 = sin(−x ) is Even, Odd, or Neither. Even, since f (x) = f (−x) Odd, since f (x) = −f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Even, since f (x) = −f (−x) 26. Determine if the function f (x) 3 = sin(−x ) is Even, Odd, or Neither. Odd, since f (x) = −f (−x) Odd, since f (x) = f (−x) Even, since f (x) = f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) 27. Determine if the function f (x) = cos(x) + sin(x) − 3 is Even, Odd, or Neither. Odd, since f (x) = f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Even, since f (x) = f (−x) Odd, since f (x) = −f (−x) 28. Determine if the function f (x) = cos(−x) + x is Even, Odd, or Neither. Odd, since f (x) = −f (−x) Odd, since f (x) = f (−x) Even, since f (x) = f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) 29. Determine if the function f (x) 2 = cos(x ) is Even, Odd, or Neither. Even, since f (x) = f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Odd, since f (x) = −f (−x) Even, since f (x) = −f (−x) https://study.com/skill/print/practice/determining-if-a-function-is-even-or-odd-questions.html 5/6 10/7/23, 8:06 PM 30. Determine if the function f (x) Determining if a Function is Even or Odd 2 = cos(−x ) is Even, Odd, or Neither. Odd, since f (x) = −f (−x) Neither, since f (x) ≠ f (−x) and f (−x) ≠ −f (x) Even, since f (x) = f (−x) Odd, since f (x) = f (−x) https://study.com/skill/print/practice/determining-if-a-function-is-even-or-odd-questions.html 6/6