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anonymous

  • one year ago

Given four functions, which one will have the highest y-intercept?

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  1. anonymous
    • one year ago
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    a. f(x) b. g(x) c. h(x) d. j(x)

  2. Jack1
    • one year ago
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    so: u help out this time y intercept for h(x) = ??? @badsuns

  3. anonymous
    • one year ago
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    h(x)=4 ?

  4. mathmate
    • one year ago
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    g(x) is not clear,because there is no indication what kind of non-linear function it is. IF it is assumed to be a quadratic (defined by three given points), then you can work back to get f(0) by forward differences. |dw:1439301717122:dw|

  5. mathmate
    • one year ago
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    For a quadratic, the second difference is constant. so if we tabulate the differences, we can work out g(0).

  6. anonymous
    • one year ago
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    i believe the answer is f(x)

  7. mathmate
    • one year ago
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    I totally agree that it is a horrible question, which we see very often in multiple choice questions. Unfortunately today math does not teach students to be rigorous, but instead, (incorrectly in math ) to generalize.

  8. anonymous
    • one year ago
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    sorry about that. but thanks everyone for your help :)

  9. mathmate
    • one year ago
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    If it is cubic, it is NOT defined by three points. If it is quadratic, there is only one quadratic that passes through all these points.

  10. mathmate
    • one year ago
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    @badsums The problem is not with you, it's with the question itself! lol

  11. mathmate
    • one year ago
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    IF it is a quadratic, then we can use the following table to work it out. Unfortunately with a multiple choice, you cannot support your answer in any way. That is why multiple choice questions are frustrating when the question is not properly made.

  12. mathmate
    • one year ago
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    |dw:1439302208652:dw|

  13. mathmate
    • one year ago
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    IF it is a quadratic, we can work backwards: |dw:1439302374183:dw| to conclude that g(0)=33

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