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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: The Old Kitchen Sink | Comment 4 of 7 |
(In reply to The Old Kitchen Sink by Richard)

The sinc function appears to have infinitely many x-intercepts, not just two as specified.

Are you proposing to modify a sinc function?  If so, restricting its domain artificially is not allowed but transformations are.


  Posted by Jer on 2006-06-20 14:50:08
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