Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: HenHanna <HenHanna@devnull.tb>
Newsgroups: sci.lang,sci.math
Subject: f(x) = (x^2 + 1) --------- strange (curved Surface) Graph
Date: Mon, 29 Jul 2024 12:28:36 -0700
Organization: A noiseless patient Spider
Lines: 21
Message-ID: <v88qh4$jkm6$2@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 7bit
Injection-Date: Mon, 29 Jul 2024 21:28:37 +0200 (CEST)
Injection-Info: dont-email.me; posting-host="cda7bbd820da97e0a9151b7b6d2c87f6";
	logging-data="643782"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX199VoAlz+PXCtXSZknknhv95PoRbwXSHTM="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:zo7ob8awHEcbRXQEwU6Hi0hcwL0=
Content-Language: en-US
Bytes: 1572


When   this function      y =  f(x)  =  (x^2  +   1)      is first 
introduced, we learn its Graph to be a  simple  parabola.

THEN  when we learn  that  x can be a complex number, so that
the Graph  is    2 (orthogonally) linked   Parabolas.
---------- like this:

https://phantomgraphs.weebly.com/uploads/5/4/5/4/5454288/4_4_orig.jpg

https://www.geogebra.org/resource/czbugz9h/fofRh3ZjmwwISd2v/material-czbugz9h-thumb@l.png



This graph   is   showing a smooth ,  curved  surface   -->

                 https://i.sstatic.net/soSJ8.png

What is this graph showing???

                it purports to show    f(x)  =  (x^2  +   1)