Find the domain and range of the function.
-$$f ( x ) = - 3 - x ^ { 2 }$$
A) Domain: $( - \infty , \infty )$; Range: $( - \infty , 3 ]$
B) Domain: $( - \infty , \infty )$; Range: $( - \infty , - 3 ]$
C) Domain: $( - \infty , - 3 ]$; Range: $[ 3 , \infty )$
D) Domain: $( - \infty , \infty )$; Range: $[ - 3 , \infty )$

Question

Quizplus · Accepted Answer

The domain of $f(x) = -3 - x^2$ is all real numbers because there are no restrictions on $x$. The range is $(-\infty, -3]$ because the maximum value of $f(x)$ occurs at $x = 0$, giving $f(0) = -3$, and the function decreases without bound as $x$ moves away from 0.

Find the Domain and Range of the Function f(x)=−3−x2f ( x ) = - 3 - x ^ { 2 }f(x)=−3−x2

Find the Domain and Range of the Function $f ( x ) = - 3 - x ^ { 2 }$