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sh3lsh

  • 5 years ago

How do find a range of a function without graphing it? I know when you have to find the domain you usually set the equation greater than 0 depending on the equation or just fill in numbers but what do you do for range?

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  1. Mertsj
    • 5 years ago
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    By inspecting the equation and garnering any information you can about the y values.

  2. Mertsj
    • 5 years ago
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    For example if the function is y=x^2, I can tell that there will never be a negative y value because x^2 is always positive unless x is 0 in which case y is 0. So I can say that the range is all positive real numbers plus 0

  3. sh3lsh
    • 5 years ago
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    what about an equation like f(x)= \[(2/(7+\sqrt{x)})\]

  4. Mertsj
    • 5 years ago
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    Well is the 2 positive or negative?

  5. sh3lsh
    • 5 years ago
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    positive :|

  6. Mertsj
    • 5 years ago
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    Is the seven positive or negative?

  7. sh3lsh
    • 5 years ago
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    The equation is just like how i typed it.

  8. Mertsj
    • 5 years ago
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    Answer my question if you want me to help you understand.

  9. sh3lsh
    • 5 years ago
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    positive.

  10. Mertsj
    • 5 years ago
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    Is the seven positive or negative?

  11. Mertsj
    • 5 years ago
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    Is the square root of x positive or negative?

  12. sh3lsh
    • 5 years ago
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    positive

  13. Mertsj
    • 5 years ago
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    so look what we have: I will draw a picture:

  14. Mertsj
    • 5 years ago
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    |dw:1326851598024:dw|

  15. Mertsj
    • 5 years ago
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    y = positive over positive plus positive.

  16. Mertsj
    • 5 years ago
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    Will y always be positive?

  17. sh3lsh
    • 5 years ago
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    yes?

  18. Mertsj
    • 5 years ago
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    So the range must be all real numbers greater than 0

  19. Mertsj
    • 5 years ago
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    Actually we could say all real numbers greater than or equal to 2/7 because the smallest thing the square root of x can be is 0 so the fraction will always be at least 2/7

  20. sh3lsh
    • 5 years ago
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    okay . I'll be practicing. Thanks.

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