Find all critical numbers for the function. State whether it leads to a local maximum, a local minimum, or neither.
-$f(x)=\frac{x+5}{x-8}$
A) Local maximum at -13 ; local minimum at 8
B) No critical numbers; no local extrema
C) Local maximum at -13
D) Local minimum at 8

Question

Quizplus · Accepted Answer

The function $f(x)=\frac{x+5}{x-8}$ has no critical numbers because its derivative does not equal zero anywhere in its domain. The function is undefined at $x=8$, which is a vertical asymptote, not a critical point.

Find All Critical Numbers for the Function f(x)=x+5x−8f(x)=\frac{x+5}{x-8}f(x)=x−8x+5​ A) Local Maximum at -13 ; Local Minimum at 8

Find All Critical Numbers for the Function $f(x)=\frac{x+5}{x-8}$ A) Local Maximum at -13 ; Local Minimum at 8