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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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  Subject Author Date
SolutionPolynomial SolutionsBrian Smith2016-07-09 14:54:42
Another TryRichard2006-06-20 16:13:53
re(2): The Old Kitchen SinkRichard2006-06-20 15:34:43
re: The Old Kitchen SinkJer2006-06-20 14:50:08
Another oneJoe2006-06-20 11:58:01
The Old Kitchen SinkRichard2006-06-19 22:35:30
Hints/TipsLet's get things startedMindy2006-06-19 21:08:37
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