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ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0\( \color{Black}{\Rightarrow f(x) = 3^x }\) This is an example.

nbouscal
 2 years ago
Best ResponseYou've already chosen the best response.0Exponential function is \(f(x)=e^x\). The graph is here: http://www.wolframalpha.com/input/?i=graph+e%5Ex

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0First make a table: \(\begin{matrix} f(x) & x \\ 1&3 \\ 2 &9 \end{matrix}\) Etc. and then just plot a parabola

nbouscal
 2 years ago
Best ResponseYou've already chosen the best response.0Not a parabola, parth. Parabola is an even function, exponential functions are not.

shahzadjalbani
 2 years ago
Best ResponseYou've already chosen the best response.0Can you explain some properties of exponential function like domain range @ParthKohli and @nbouscal

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0Domain is the input, range is the output. Though my nathan would be the best if you want to go into the detail :P

nbouscal
 2 years ago
Best ResponseYou've already chosen the best response.0The range of exponential functions is \(\{y:y>0\}\). Domain should be the whole real line.

shahzadjalbani
 2 years ago
Best ResponseYou've already chosen the best response.0I mean domain and range of exponential functions @ParthKohli

nbouscal
 2 years ago
Best ResponseYou've already chosen the best response.0Well 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.

shahzadjalbani
 2 years ago
Best ResponseYou've already chosen the best response.0yes I want to know general characterstics @nbouscal

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.0Exponential 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.

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.0These are all examples.
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