What is the domain and range of $f(x) = ln(x): x>0$ ?

Question

5276 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-26T01:05:15

$(-oo,+oo)$

$f(x) = lnx$ is, as you state, defined for $x>0$ . Thus its domain is $0,+oo)$ .

On the other hand, since $lim_"x->0"lnx =-oo$ the range of $lnx$ is $(-oo,+oo)$

We can get a sense of this by looking at the graph of $lnx$ below:

graph{lnx [-1.596, 9.504, -3.33, 2.217]}

What is the domain and range of f(x) = ln(x): x>0f(x) = ln(x): x>0?