Question

What is Exponential Function and how to draw it's graph?

Answer 1

\( \color{Black}{\Rightarrow f(x) = 3^x }\)

This is an example.

Answer 2

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

Answer 3

Explain please.

Answer 4

First make a table:

\(\begin{matrix} f(x) & x \\ 1&3 \\ 2 &9 \end{matrix}\)

Etc. and then just plot a parabola

Answer 5

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

Answer 6

Oh

Answer 7

Plot whatever :P

Answer 8

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

Answer 9

Domain is the input, range is the output.
Though my nathan would be the best if you want to go into the detail :P

Answer 10

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

Answer 11

I mean domain and range of exponential functions @ParthKohli

Answer 12

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.

Answer 13

yes I want to know general characterstics @nbouscal

Answer 14

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.

Answer 15

These are all examples.