Find the domain of the function and identify any vertical and horizontal asymptotes.
$f ( x ) = \frac { 25 } { x ^ { 2 } }$
A)Domain: all real numbers x except x = 0Vertical asymptote: x = 0Horizontal asymptote: y = 0
B) Domain: all real numbers x except x = 5Vertical asymptote: x = 0Horizontal asymptote: y = 0
C) Domain: all real numbers x except x = 25Vertical asymptote: x = 0Horizontal asymptote: y = 0
D) Domain: all real numbers xVertical asymptote: x = 0Horizontal asymptote: y = 0
E) Domain: all real numbers x except x = ±5Vertical asymptote: y = 0Horizontal asymptote: x = 0

Question

Find the domain of the function and identify any vertical and horizontal asymptotes. 
 $f ( x ) = \frac { 25 } { x ^ { 2 } }$  
A)Domain: all real numbers x except x = 0Vertical asymptote: x = 0Horizontal asymptote: y = 0
B) Domain: all real numbers x except x = 5Vertical asymptote: x = 0Horizontal asymptote: y = 0
C) Domain: all real numbers x except x = 25Vertical asymptote: x = 0Horizontal asymptote: y = 0 
D) Domain: all real numbers xVertical asymptote: x = 0Horizontal asymptote: y = 0 
E) Domain: all real numbers x except x = ±5Vertical asymptote: y = 0Horizontal asymptote: x = 0

Quizplus · Accepted Answer

The function $f(x) = \frac{25}{x^2}$ is undefined at $x = 0$ because division by zero is not allowed, making the domain all real numbers except $x = 0$. The function approaches infinity as $x$ approaches 0, indicating a vertical asymptote at $x = 0$. As $x$ approaches infinity, $f(x)$ approaches 0, indicating a horizontal asymptote at $y = 0$.

Find the Domain of the Function and Identify Any Vertical f(x)=25x2f ( x ) = \frac { 25 } { x ^ { 2 } }f(x)=x225​

Find the Domain of the Function and Identify Any Vertical $f ( x ) = \frac { 25 } { x ^ { 2 } }$