MATH 121
DOMAIN AND RANGE

Find the Domain:

1. f(x) = x + x -1

2. f(x) = (2x + 5) -2

3. f(x) =

4. f(x) =

5. f(x) =

6. f(x) =

7. f(x) =

8. f(x) =

9. f(x) =

10. f(x) =

11. y = (x2 + x – 2)2/3

12. y = (x2 + x – 2)3/2

13. y =

Find the Domain and Range:

14. f(x) =

15. f(x) = |x + 2|

16. f(x) =

17. y =

18. {(1,-4),(2,3),(5,-4)}

19. {(x, 3x - 4)}

20. {(x, y) | y = -x}

21. {(x, 5)}

22. {(x, + 2)}

 

ANSWERS

1. - {0}

2. -

3. {x ≥ -4}

4.

5. {x ≥ 3}∪ {x ≤ -3}

6.

7. - {2}

8. {x ≥ -2, x ≠ -1}

9. {x ≥ 2} ∪ {x < -1}

10. {-3 ≤ x ≤ 3}

11.

12. {x ≤ -2} ∪ {x ≥ 1}

13. {0 < x ≤ 5}

14. D= -{0}, R= R -{0}

15. D = , R = {y ≥ 0}

16. D= , R= {0 ≤ y ≤ 1}

17. D= , R= {10,12,}

18. D= {1,2,5}, R= {-4,3}

19. D = , R = R

20. D = , R = R

21. D = , R = {5}

22. D= {x ≥ 1}, R= {y ≥ 2}

 

121DO_RA.HDT