State the domain and range of the function.
-$$f ( x ) = e ^ { x } + 2$$
A) domain: $( - \infty , \infty )$; range: $[ 2 , \infty )$
B) domain: $( - \infty , \infty )$; range: $( 2 , \infty )$
C) domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$
D) domain: $( - \infty , 0 ) \cup ( 0 , \infty )$; range: $( 2 , \infty )$

Question

Quizplus · Accepted Answer

The function $f(x) = e^x + 2$ is defined for all real numbers, so the domain is $( - \infty , \infty )$. The range is $( 2 , \infty )$ because $e^x$ is always positive and approaches 0 as $x$ approaches negative infinity, making the minimum value of $f(x)$ just above 2.

State the Domain and Range of the Function f(x)=ex+2f ( x ) = e ^ { x } + 2f(x)=ex+2

State the Domain and Range of the Function $f ( x ) = e ^ { x } + 2$