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