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- anonymous

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

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- anonymous

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

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- anonymous

a. f(x)
b. g(x)
c. h(x)
d. j(x)

- Jack1

so: u help out this time
y intercept for h(x) = ??? @badsuns

- anonymous

h(x)=4 ?

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- mathmate

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|

- mathmate

For a quadratic, the second difference is constant.
so if we tabulate the differences, we can work out g(0).

- anonymous

i believe the answer is f(x)

- mathmate

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.

- anonymous

sorry about that. but thanks everyone for your help :)

- mathmate

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.

- mathmate

@badsums
The problem is not with you, it's with the question itself! lol

- mathmate

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.

- mathmate

|dw:1439302208652:dw|

- mathmate

IF it is a quadratic, we can work backwards:
|dw:1439302374183:dw|
to conclude that g(0)=33

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