SOLUTION: How do I find the domain and the range for the function f(x)=ex and express both in interval notation. NOTE: the (x) following the (e) should be written like expanded notat

Algebra ->  Decimal-numbers -> SOLUTION: How do I find the domain and the range for the function f(x)=ex and express both in interval notation. NOTE: the (x) following the (e) should be written like expanded notat      Log On


   



Question 113512: How do I find the domain and the range for the function f(x)=ex
and express both in interval notation.
NOTE: the (x) following the (e) should be written like expanded notation, I just do not know how to do that on the computer.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
I think what you mean is that the x should be exponential notation. In other words, f%28x%29=e%5Ex. The way to do that on the computer in plain text is e^x.

Now, you want the domain and the range. We can see this from an examination of the graph of f%28x%29=e%5Ex.

graph%28600%2C600%2C-4%2C4%2C-4%2C4%2C2.71828%5Ex%29

From the graph, we can see that the domain (all possible values for x) is all Real numbers, or -infinity+%3C+x+%3C+infinity

The value of e%5Ex can never be zero or negative, so the range is all positive reals, or 0%3Cf%28x%29%3Cinfinity

Hope that helps,
John