# What is the domain and range of F(x)=ln(x^2)?

May 29, 2017

domain: $\left(- \infty , 0\right) \cup \left(0 , \infty\right)$

range: $\left(- \infty , \infty\right)$

#### Explanation:

Given: $F \left(x\right) = \ln \left({x}^{2}\right)$

From the graph you can see that there is a vertical asymptote at $x = 0$

domain: $\left(- \infty , 0\right) \cup \left(0 , \infty\right) \text{ or, all } x \ne 0$

range: $\left(- \infty , \infty\right) \text{ or, " y = "all Reals}$

graph{ln(x^2) [-10, 10, -5, 5]}