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) = ½x + 2½

16. f(x) =

17. y =

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

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

20. {(x, y) ½ y = -x}

21. {(x, 5)}

22. {(x, + 2)}

 

ANSWERS

1. R - {0}

2. R -

3. {x ³ -4}

4. R

5. {x ³ 3}È {x £ -3}

6. R

7. R - {2}

8. {x ³ -2, x ¹ -1}

9. {x ³ 2} È {x < -1}

10. {-3 £ x £ 3}

11. R

12. {x £ -2} È {x ³ 1}

13. {0 < x £ 5}

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

15. D = R, R = {y ³ 0}

16. D= R, R= {0 £ y £ 1}

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

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

19. D = R, R = R

20. D = R, R = R

21. D = R, R = {5}

22. D= {x ³ 1}, R= {y ³ 2}

 

121DO_RA.HDT