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Three Intercepts (Posted on 2006-06-19) Difficulty: 3 of 5
Given the information that the graph of a function has a y-intercept at (0,1) and exactly two x-intercepts at (2,0) and (4,0), how many different functions can you find that pass through these three points?

Note: there are infinite families of functions such as high degree polynomials which pass through them, so a single example would suffice for them. Also disallowed would be piecewise function and functions with artificially restricted domains.

No Solution Yet Submitted by Jer    
Rating: 2.0000 (2 votes)

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Hints/Tips Let's get things started | Comment 1 of 7

Here's an easy one:

y = 0.125x2 - 0.75x + 1


  Posted by Mindy on 2006-06-19 21:08:37
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