Give the domain and range for the rational function. Use interval notation.
-$$f ( x ) = - \frac { 1 } { ( x - 7 ) ^ { 2 } } + 5$$
A) Domain: $( - \infty , 7 ) \cup ( 7 , \infty )$; Range: $( - \infty , 0 )$
B) Domain: $( - \infty , 7 ) \cup ( 7 , \infty )$; Range: $( - \infty , 5 )$
C) Domain: $( - \infty , 7 ) \cup ( 7 , \infty )$; Range: $( 5 , \infty )$
D) Domain: $( - \infty , - 7 ) \cup ( - 7 , \infty )$; Range: $( - \infty , 5 )$

Question

Quizplus · Accepted Answer

The function is undefined at $x = 7$, so the domain is $( - \infty , 7 ) \cup ( 7 , \infty )$. The range is $( - \infty , 5 )$ because the function approaches 5 from below as $x$ approaches $\pm \infty$.

Give the Domain and Range for the Rational Function f(x)=−1(x−7)2+5f ( x ) = - \frac { 1 } { ( x - 7 ) ^ { 2 } } + 5f(x)=−(x−7)21​+5

Give the Domain and Range for the Rational Function $f ( x ) = - \frac { 1 } { ( x - 7 ) ^ { 2 } } + 5$