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 = 0 Vertical asymptote: x = 0
Horizontal asymptote: y = 0
B)Domain: all real numbers x except x = 5 Vertical asymptote: x = 0
Horizontal asymptote: y = 0
C)Domain: all real numbers x except x = 25 Vertical asymptote: x = 0
Horizontal asymptote: y = 0
D)Domain: all real numbers x Vertical asymptote: x = 0
Horizontal asymptote: y = 0
E)Domain: all real numbers x except x = ±5 Vertical asymptote: y = 0
Horizontal 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 = 0 Vertical asymptote: x = 0
Horizontal asymptote: y = 0
B)​Domain: all real numbers x except x = 5 Vertical asymptote: x = 0
Horizontal asymptote: y = 0
C)​Domain: all real numbers x except x = 25 Vertical asymptote: x = 0
Horizontal asymptote: y = 0​
D)​Domain: all real numbers x Vertical asymptote: x = 0
Horizontal asymptote: y = 0​
E)​Domain: all real numbers x except x = ±5 Vertical asymptote: y = 0
Horizontal asymptote: x = 0​

Quizplus · Accepted Answer

The function $\frac{25}{x^2}$ is defined for all real numbers except $x = 0$, because division by zero is undefined. This results in a vertical asymptote at $x = 0$. As $x$ approaches infinity, the function 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 $f ( x ) = \frac { 25 } { x ^ { 2 } }$