Domain/Range of this e graph

**advancedfunctions2010** · December 15th 2010, 03:13 PM

y = e^3x
Attached is the graph, not sure what domain and range is?
Thanks in advance

**Prove It** · December 15th 2010, 03:28 PM

Is your function $\displaystyle e^{3x}$ or $\displaystyle e^3x$ ? Because it looks like you've graphed the second...

**Plato** · December 15th 2010, 03:29 PM

The image that you posted is of the graph $e^3x$ which is a line.

I suspect you want the graph of $e^{3x}$ .

Is that correct?

**advancedfunctions2010** · December 15th 2010, 06:56 PM

Yeah!
Let me fix the graph..

**advancedfunctions2010** · December 15th 2010, 07:06 PM

Thanks for helping guys.

Actually I did do the graph wrong, as it is y= e^(3x)

So domain: x equals R
range: y > -1

**snowtea** · December 15th 2010, 07:09 PM

For the range $y\geq 0$
y can never be negative right?

**eddie2042** · December 15th 2010, 07:25 PM

Originally Posted by advancedfunctions2010

Thanks for helping guys.

Actually I did do the graph wrong, as it is y= e^(3x)

So domain: x equals R
range: y > -1

I agree with your domain; also it's not 'x equals R', it's $x \epsilon \mathbb{R}$ , meaning x belongs to the set of all real numbers.

However, is the domain really y>-1? At what point on the graph e^(3x) is y even negative?

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