List the intercepts for the graph of the equation.
-$$y = \frac { x ^ { 2 } - 9 } { 3 x ^ { 4 } }$$
A) $( 0,0 )$
B) $( - 3,0 ) , ( 3,0 )$
C) $( 0 , - 3 ) , ( 0,3 )$
D) $( - 9,0 ) , ( 0,0 ) , ( 9,0 )$

Question

Quizplus · Accepted Answer

To find the x-intercepts, set $y = 0$ and solve for $x$. The equation becomes $0 = \frac{x^2 - 9}{3x^4}$, which simplifies to $x^2 - 9 = 0$. Solving this gives $x = \pm 3$, hence the x-intercepts are $(-3, 0)$ and $(3, 0)$. There are no y-intercepts because setting $x = 0$ results in division by zero, which is undefined.

List the Intercepts for the Graph of the Equation y=x2−93x4y = \frac { x ^ { 2 } - 9 } { 3 x ^ { 4 } }y=3x4x2−9​

List the Intercepts for the Graph of the Equation $y = \frac { x ^ { 2 } - 9 } { 3 x ^ { 4 } }$