## anonymous 4 years ago What is Exponential Function and how to draw it's graph?

1. ParthKohli

$$\color{Black}{\Rightarrow f(x) = 3^x }$$ This is an example.

2. anonymous

Exponential function is $$f(x)=e^x$$. The graph is here: http://www.wolframalpha.com/input/?i=graph+e%5Ex

3. anonymous

4. ParthKohli

First make a table: $$\begin{matrix} f(x) & x \\ 1&3 \\ 2 &9 \end{matrix}$$ Etc. and then just plot a parabola

5. anonymous

Not a parabola, parth. Parabola is an even function, exponential functions are not.

6. ParthKohli

Oh

7. ParthKohli

Plot whatever :P

8. anonymous

Can you explain some properties of exponential function like domain range @ParthKohli and @nbouscal

9. 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

10. anonymous

The range of exponential functions is $$\{y:y>0\}$$. Domain should be the whole real line.

11. anonymous

I mean domain and range of exponential functions @ParthKohli

12. 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.

13. anonymous

yes I want to know general characterstics @nbouscal

14. 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.

15. anonymous

These are all examples.