Graph the function on your calculator to determine the domain and range from the graph.
-$$g ( x ) = \ln ( x - 7 )$$
A) Domain: $( 7 , \infty )$; range: $( - \infty , \infty )$
B) Domain: $[ 7 , \infty )$; range: $( - \infty , \infty )$
C) Domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$
D) Domain: $( - \infty , \infty )$; range: $( 7 , \infty )$

Question

Quizplus · Accepted Answer

The logarithmic function $\ln(x - 7)$ is defined for $x - 7 > 0$, which means $x > 7$. Therefore, the domain is $(7, \infty)$. The range of a logarithmic function is all real numbers, $(-\infty, \infty)$.

Graph the Function on Your Calculator to Determine the Domain g(x)=ln⁡(x−7)g ( x ) = \ln ( x - 7 )g(x)=ln(x−7)

Graph the Function on Your Calculator to Determine the Domain $g ( x ) = \ln ( x - 7 )$