Find the largest open interval where the function is changing as requested.
-Decreasing $f ( x ) = - \sqrt { x + 3 }$
A) $( 3 , \infty )$
B) $( - \infty , 3 )$
C) $( - 3 , \infty )$
D) $( - \infty , - 3 )$

Question

Quizplus · Accepted Answer

The function $f(x) = -\sqrt{x + 3}$ is defined for $x \geq -3$, as the square root function requires non-negative inputs. The negative sign in front of the square root indicates that as $x$ increases, $f(x)$ decreases. Therefore, the function is decreasing on the interval where it is defined, which is $(-3, \infty)$.

Find the Largest Open Interval Where the Function Is Changing f(x)=−x+3f ( x ) = - \sqrt { x + 3 }f(x)=−x+3​

Find the Largest Open Interval Where the Function Is Changing $f ( x ) = - \sqrt { x + 3 }$