Graph the function on your calculator to determine the domain and range from the graph.
-$$k ( x ) = e ^ { x } - 3$$
A) Domain: $( - 3 , \infty )$; range: $( - \infty , \infty )$
B) Domain: $( - \infty , \infty )$; range: $[ - 3 , \infty )$
C) Domain: $( - \infty , - 3 )$; range: $( - \infty , \infty )$
D) Domain: $( - \infty , \infty )$; range: $( - 3 , \infty )$

Question

Quizplus · Accepted Answer

The function $k(x) = e^x - 3$ is defined for all real numbers, so the domain is $( - \infty , \infty )$. The range is $( - 3 , \infty )$ because $e^x$ is always positive, and subtracting 3 shifts the range down by 3.

Graph the Function on Your Calculator to Determine the Domain k(x)=ex−3k ( x ) = e ^ { x } - 3k(x)=ex−3

Graph the Function on Your Calculator to Determine the Domain $k ( x ) = e ^ { x } - 3$