Given four functions, which one will have the highest y-intercept?
Stacey Warren - Expert brainly.com
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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.
For a quadratic, the second difference is constant.
so if we tabulate the differences, we can work out g(0).
i believe the answer is f(x)
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.
sorry about that. but thanks everyone for your help :)
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.
The problem is not with you, it's with the question itself! lol
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.
IF it is a quadratic, we can work backwards:
to conclude that g(0)=33