anonymous
  • anonymous
What is Exponential Function and how to draw it's graph?
Mathematics
chestercat
  • chestercat
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ParthKohli
  • ParthKohli
\( \color{Black}{\Rightarrow f(x) = 3^x }\) This is an example.
anonymous
  • anonymous
Exponential function is \(f(x)=e^x\). The graph is here: http://www.wolframalpha.com/input/?i=graph+e%5Ex
anonymous
  • anonymous
Explain please.

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ParthKohli
  • ParthKohli
First make a table: \(\begin{matrix} f(x) & x \\ 1&3 \\ 2 &9 \end{matrix}\) Etc. and then just plot a parabola
anonymous
  • anonymous
Not a parabola, parth. Parabola is an even function, exponential functions are not.
ParthKohli
  • ParthKohli
Oh
ParthKohli
  • ParthKohli
Plot whatever :P
anonymous
  • anonymous
Can you explain some properties of exponential function like domain range @ParthKohli and @nbouscal
ParthKohli
  • ParthKohli
Domain is the input, range is the output. Though my nathan would be the best if you want to go into the detail :P
anonymous
  • anonymous
The range of exponential functions is \(\{y:y>0\}\). Domain should be the whole real line.
anonymous
  • anonymous
I mean domain and range of exponential functions @ParthKohli
anonymous
  • anonymous
Well actually I have to clarify that answer. If you're talking about the exponential function, \(e^x\), my answer is correct. If you're talking about the whole family of exponential functions it might not be correct, there are some weird cases possible I think. Not entirely sure.
anonymous
  • anonymous
yes I want to know general characterstics @nbouscal
anonymous
  • anonymous
Exponential functions are functions in which the variable is in the exponent. They generally have the appearance of a horizontal line that starts to slowly curve upwards to the point it's almost a vertical line.
anonymous
  • anonymous

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