Test the equation $y = 9 x ^ { 3 } + 5 x$ for symmetry.
A) The symmetry is around the point $( 5,5 )$.
B) There is no symmetry.
C) The symmetry is around the $x$-axis.
D) The symmetry is around the $y$-axis.
E) The symmetry is around the origin.

Question

Test the equation $y = 9 x ^ { 3 } + 5 x$ for symmetry. 
A) The symmetry is around the point $( 5,5 )$.
B) There is no symmetry.
C) The symmetry is around the $x$-axis.
D) The symmetry is around the $y$-axis.
E) The symmetry is around the origin.

Quizplus · Accepted Answer

The function $y = 9x^3 + 5x$ is an odd function because replacing $x$ with $-x$ gives $-y$. This indicates symmetry around the origin.

Test the Equation y=9x3+5xy = 9 x ^ { 3 } + 5 xy=9x3+5x

Test the Equation $y = 9 x ^ { 3 } + 5 x$