Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
-$$y = \frac { x ^ { 2 } - 49 } { 7 x ^ { 4 } }$$
A) origin
B) y-axis
C) x-axis
D) x-axis, y-axis, origin
E) none

Question

Quizplus · Accepted Answer

The function $ y = \frac{x^2 - 49}{7x^4} $ is even, meaning it is symmetric with respect to the y-axis. This is because replacing $ x $ with $ -x $ results in the same function: $ y = \frac{(-x)^2 - 49}{7(-x)^4} = \frac{x^2 - 49}{7x^4} $. It is not symmetric with respect to the x-axis or the origin.

Determine Whether the Graph of the Equation Is Symmetric with Respect