$\text { Use a graphing utility to graph the function } f ( x ) = \frac { 8 } { 8 - x } \text { and locate the absolute }$ extrema of the function on the interval $( 0,8 )$.
A) absolute minimum: $( 0,0 )$
no absolute maximum
B) absolute minimum: $( 0,1 )$
no absolute maximum
C) absolute minimum: $( 4,2 )$
no absolute maximum
D) absolute minimum: $( 0,1 )$
absolute maximum: $( 8,8 )$
E) absolute maximum: $( 0,1 )$
absolute minimum: $( 8,0 )$

Question

Quizplus · Accepted Answer

The function $f(x) = \frac{8}{8-x}$ has a vertical asymptote at $x = 8$ and is undefined at that point, so it cannot have an absolute maximum at $x = 8$. The function approaches infinity as $x$ approaches 8 from the left. At $x = 0$, $f(0) = \frac{8}{8-0} = 1$, so there is an absolute minimum at $(0,1)$.

Use a graphing utility to graph the function f(x)=88−x and locate the absolute \text { Use a graphing utility to graph the function } f ( x ) = \frac { 8 } { 8 - x } \text { and locate the absolute } Use a graphing utility to graph the function f(x)=8−x8​ and locate the absolute

$\text { Use a graphing utility to graph the function } f ( x ) = \frac { 8 } { 8 - x } \text { and locate the absolute }$