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anonymous

  • one year ago

Find the range of the function f of x equals square root of the quantity twelve x plus twenty four A.y < or equal to 12 B. y > or equal to 24 C. y < or equal to 0 D. y > or equal to 0

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  1. anonymous
    • one year ago
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    @mathstudent55 any ideas im stuck...

  2. welshfella
    • one year ago
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    f(x) = sqrt(12x - 24)

  3. welshfella
    • one year ago
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    Hint - there are no real square roots of a negative value

  4. anonymous
    • one year ago
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    im still sort of stuck...im not sure what that means?

  5. welshfella
    • one year ago
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    - so what is the lowest possible value of 12x - 24?

  6. welshfella
    • one year ago
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    well can 12x - 24 be negative?

  7. anonymous
    • one year ago
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    2?

  8. welshfella
    • one year ago
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    look at the hint

  9. welshfella
    • one year ago
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    no not 2

  10. anonymous
    • one year ago
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    so then 0?...

  11. welshfella
    • one year ago
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    right! so what is the range ( the possible values of f(x))

  12. anonymous
    • one year ago
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    y is < or equal to 0?

  13. welshfella
    • one year ago
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    12x - 24 cannot be negative because you cannot have a square root of a negative quantity

  14. welshfella
    • one year ago
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    and the square root must be a positive for y to be a function so:-

  15. welshfella
    • one year ago
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    Y > or equal to zero

  16. welshfella
    • one year ago
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    D is the correct option

  17. anonymous
    • one year ago
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    will you help me with other problems so I have a better understanding?

  18. welshfella
    • one year ago
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    I only have another 10 minutes but ok

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