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anonymous

  • one year ago

f(x)=sin(x)-5 graph in radian, describe domain and range

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  1. anonymous
    • one year ago
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    @jim_thompson5910

  2. anonymous
    • one year ago
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    @stacy.reed08

  3. anonymous
    • one year ago
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    @bullkidd

  4. jim_thompson5910
    • one year ago
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    I recommend using a graphing calculator. If you don't have something like a TI83, then you can use a free graphing website like desmos https://www.desmos.com/calculator

  5. anonymous
    • one year ago
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    i have one, i can graph them, i just really need help with the domain and range.

  6. jim_thompson5910
    • one year ago
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    do you see how the graph extends infinitely in both directions in the horizontal (x axis) direction?

  7. jim_thompson5910
    • one year ago
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    What that tells us is that the domain is the set of all real numbers. You can plug in any number you want for x and it's a valid input.

  8. anonymous
    • one year ago
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    yes, it suppose to look wavy too right? since i graph it in radian?

  9. jim_thompson5910
    • one year ago
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    yes it goes up and down

  10. anonymous
    • one year ago
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    okay good. so the domain would just be all real numbers?

  11. jim_thompson5910
    • one year ago
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    correct

  12. jim_thompson5910
    • one year ago
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    how about the range?

  13. anonymous
    • one year ago
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    samething?

  14. jim_thompson5910
    • one year ago
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    you sure? every y value is a possible output?

  15. anonymous
    • one year ago
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    wait, will it be (0,5) since that the only whole y number i got?

  16. jim_thompson5910
    • one year ago
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    look at the lowest and highest points. What are the y coordinates of those points?

  17. anonymous
    • one year ago
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    im lost at this point, the X values go on forever, how do i find the highest and lowests?

  18. jim_thompson5910
    • one year ago
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    here is the sine curve |dw:1439769652243:dw|

  19. jim_thompson5910
    • one year ago
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    |dw:1439769685108:dw|

  20. anonymous
    • one year ago
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    -4

  21. jim_thompson5910
    • one year ago
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    how about the y coordinate for this point |dw:1439769836217:dw|

  22. anonymous
    • one year ago
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    -6

  23. anonymous
    • one year ago
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    so wait, the range is between the 2 most nearest whole numbers?

  24. jim_thompson5910
    • one year ago
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    the range is between -6 and -4 because these are the possible y values that pop out of the function. No other y value is possible. We can't have y = 0 for instance

  25. jim_thompson5910
    • one year ago
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    we write the range as \[\Large -6 \le y \le -4\] which in interval notation is [-6,-4]

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