Question

10)here are the graphs of $ln x$ and $ln x - 2$. choose the correct labels.$f(x)$$g(x)$a. $ln x$b. $ln x - 2$

Explanation:

1. For the parent function $y=\ln x$, when $x=1$, $y=\ln 1=0$. This matches the point $(1,0)$ on $f(x)$.
2. The function $y=\ln x - 2$ is a vertical shift down by 2 units of $y=\ln x$. When $x=1$, $y=\ln 1 - 2=0-2=-2$, which matches the point $(1,-2)$ on $g(x)$.

Answer:

$f(x)$: a. $\ln x$
$g(x)$: b. $\ln x - 2$