Find the largest open interval where the function is changing as requested.
-Decreasing $\quad f ( x ) = | x - 8 |$
A) $( 8 , \infty )$
B) $( - \infty , - 8 )$
C) $( - 8 , \infty )$
D) $( - \infty , 8 )$

Question

Quizplus · Accepted Answer

$f(x) = |x-8|$ is decreasing on the interval $(-\infty, 8)$. To see this, note that for $x < 8$, decreasing $x$ will make the argument of the absolute value larger, which will decrease the value of $f(x)$. Hence, the largest open interval on which $f(x)$ is decreasing is $(-\infty, 8)$.

Find the Largest Open Interval Where the Function Is Changing f(x)=∣x−8∣\quad f ( x ) = | x - 8 |f(x)=∣x−8∣

Find the Largest Open Interval Where the Function Is Changing $\quad f ( x ) = | x - 8 |$