Tuesday, October 24, 2017

Is it possible to have a positive exponential function that starts below zero?



I'm working on a project for my math class. We need to make an image on our calculators (Texas Instruments) using the DrawF function (which graphs functions as y=). I need an exponential function that starts below zero. From what I understand, they can't (according to my Algebra II textbook and a few Google searches).


Is it possible to draw the line I need with an exponential?


Side note: I would rather use this than, say, mushing it together with other types of equations because we need at least two exponential functions, and I can't find a better place to use them.


Answer



Multiplying an exponential function by any real number is still an exponential function


Take f(x)=ex


Then f(0)=1. On the other hand if you want purely a function which is of the form f(x)=ax, you will need to use complex numbers but then there's no real concept of a number being "negative"


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