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

Question

Quizplus · Accepted Answer

The function $f(x) = \frac{1}{x}$ is undefined at $x = 0$, so the domain excludes 0, making it $(- \infty, 0) \cup (0, \infty)$. The range is also $(- \infty, 0) \cup (0, \infty)$ because $f(x)$ can take any positive or negative value, but not 0.

Give the Domain and Range for the Rational Function f(x)=1xf ( x ) = \frac { 1 } { x }f(x)=x1​

Give the Domain and Range for the Rational Function $f ( x ) = \frac { 1 } { x }$