Test the equation $y = 9 x ^ { 3 } + 7 x$ for symmetry
A) The symmetry is about the origin
B) The symmetry is about the y-axis
C) There is no symmetry
D) The symmetry is about the x-axis
E) The symmetry is around the point (7, 9).

Question

Quizplus · Accepted Answer

The equation $y = 9x^3 + 7x$ is symmetric about the origin because replacing $x$ with $-x$ results in $y = -9x^3 - 7x$, which is the original equation multiplied by -1. This indicates origin symmetry.

Test the Equation y=9x3+7xy = 9 x ^ { 3 } + 7 xy=9x3+7x

Test the Equation $y = 9 x ^ { 3 } + 7 x$