The reason comes from the Fundamental Theorem of Algebra. The 1 calculator that I found that showed a real solution was Symbolab. I know this is also the case for -5/3, try that on paper too. If you have any insight on the weirdness, please give me some insight below! Thanks for your time! :D I asked my math teacher and he said it should be real. But when you type in (-7/3)^(-7/3) onto most calculators, google included: I was finding y when x = -7/3 when I noticed something strange. I was using pencil and paper for most of my problems to determine whether the y values (given x) were real or not. Then I started to find as many points I could in the negative section to see if there was a pattern. This lead me to wonder whether there are points in between the integers, and there are! Such as when x = -1/3, yet not all are real numbers. I recognized that some values are complex and cannot be graphed, yet some can, such as (-1, -1) or (-2, 0.25). I noticed the function abruptly stopped at the y-axis and did not extend into the second or third quatrains at all. I'm not exactly good at math so forgive me if this question seems really silly.Ībout a week ago, I was wondering in my math class what the graph x^x looks like, and since we were using the desmos calculator in class, I tried it out. Don't have a question about this video, but I don't really have a good category to put it.
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