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anonymous

  • one year ago

The quadratic functions f(x) and g(x) are described as follows: f(x) = −8x^2 + 7 x g(x) 0 0 1 2 2 6 3 2 4 0 Which of the following statements best compares the maximum value of the 2 functions? It is the same for both functions. f(x) has a greater maximum value than g(x). g(x) has a greater maximum value than f(x). The maximum values cannot be determined.

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  1. anonymous
    • one year ago
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    @Vocaloid

  2. anonymous
    • one year ago
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    @twistnflip

  3. Vocaloid
    • one year ago
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    any ideas about the maximum value of f(x)?

  4. anonymous
    • one year ago
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    No :|

  5. Vocaloid
    • one year ago
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    well, we know that x^2 is always positive (or 0) so -8x^2 is always negative, or 0. the maximum value of -8x^2 is 0, so the maximum value of -8x^2 + 7 is...?

  6. anonymous
    • one year ago
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    8?

  7. Vocaloid
    • one year ago
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    not quite... -8x^2 has a maximum value of 0 so if we add it to 7, what's our new maximum value?

  8. anonymous
    • one year ago
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    7?

  9. Vocaloid
    • one year ago
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    right

  10. Vocaloid
    • one year ago
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    any ideas on the maximum value of g(x)?

  11. anonymous
    • one year ago
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    0 is smallest and 6 is the largest.

  12. Vocaloid
    • one year ago
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    so the maximum is...?

  13. anonymous
    • one year ago
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    F(x)?

  14. Vocaloid
    • one year ago
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    maximum means highest value so the maximum value of g(x) = ?

  15. anonymous
    • one year ago
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    6?

  16. Vocaloid
    • one year ago
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    right. now compare the maximum value of f(x) and the maximum value of g(x), which one is higher?

  17. anonymous
    • one year ago
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    F(x) So the answer would be B?

  18. Vocaloid
    • one year ago
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    yes ^ ^

  19. anonymous
    • one year ago
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    Can you help with i more?

  20. Vocaloid
    • one year ago
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    sure, post a new question and tag me if you'd like

  21. anonymous
    • one year ago
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    ok :]

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