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 to 0 and solve for x: $0 = \frac{x^2 - 9}{3x^4}$. This equation simplifies to $x^2 - 9 = 0$, which factors to $(x + 3)(x - 3) = 0$, giving x-intercepts at x = -3 and x = 3. There are no y-intercepts because setting x to 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 $y = \frac { x ^ { 2 } - 9 } { 3 x ^ { 4 } }$