Give the domain and range for the rational function. Use interval notation.
-$$f ( x ) = - \frac { 9 } { ( x - 8 ) ^ { 2 } }$$
A) Domain: $( - \infty , 8 ) \cup ( 8 , \infty )$; Range: $( - \infty , 9 )$
B) Domain: $( - \infty , 8 ) \cup ( 8 , \infty )$; Range: $( 0 , \infty )$
C) Domain: $( - \infty , 8 ) \cup ( 8 , \infty )$; Range: $( - \infty , 0 )$
D) Domain: $( - \infty , - 8 ) \cup ( - 8 , \infty )$; Range: $( - \infty , 0 )$

Question

Quizplus · Accepted Answer

The function is undefined at $x = 8$ because the denominator becomes zero, so the domain excludes 8. The range is all negative values because the numerator is negative and the denominator is squared (always positive), so the function can never be positive or zero.

Give the Domain and Range for the Rational Function f(x)=−9(x−8)2f ( x ) = - \frac { 9 } { ( x - 8 ) ^ { 2 } }f(x)=−(x−8)29​

Give the Domain and Range for the Rational Function $f ( x ) = - \frac { 9 } { ( x - 8 ) ^ { 2 } }$