Function intersection
01-27-2022, 02:36 PM
Post: #12
 Jan 11 Junior Member Posts: 36 Joined: Mar 2020
RE: Function intersection
I checked on several functions that the HP Prime finds places where two different functions f (x) meet. If we have two functions: f (x) and g (x) and we create one function from them: f (x) - g (x) = 0 or g (x) - f (x) = 0, then it also finds the zeros of such functions. In the case of the analyzed functions, y = LN (x ^ 2-1) and y = x ^ 2-2, unfortunately, it does not define the contact points of both functions. This is an exceptional case. But when we create a function, e.g. y = x ^ 2-2-LN (x ^ 2-1) or y = LN (x ^ 2-1) -x ^ 2 + 2, then the calculator will find the zeros or extremum (because in in such cases, the null sites are also the extreme sites of function). See the screenshots.

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 Messages In This Thread Function intersection - Jan 11 - 03-23-2020, 10:26 AM RE: Function intersection - jte - 01-07-2022, 11:20 PM RE: Function intersection - lrdheat - 01-08-2022, 12:59 AM RE: Function intersection - jte - 01-08-2022, 04:57 AM RE: Function intersection - RobbiOne - 01-22-2022, 07:08 PM RE: Function intersection - rawi - 01-23-2022, 05:33 PM RE: Function intersection - OlidaBel - 01-27-2022, 11:08 AM RE: Function intersection - Jan 11 - 01-27-2022 02:36 PM RE: Function intersection - Arno K - 01-24-2022, 04:45 PM RE: Function intersection - Jan 11 - 01-24-2022, 09:00 PM RE: Function intersection - Arno K - 01-26-2022, 05:06 PM RE: Function intersection - Jan 11 - 01-26-2022, 07:59 PM

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