[ATTACH=full]3441[/ATTACH]
[ATTACH=full]3442[/ATTACH]
Question 36
y = x^4 - x^2 + 3
Let y = -y
-y = x^4 - x^2 + 3
Not symmetric with respect to the x-axis.
Let x = -x
y = (-x)^4 - (-x)^2 + 3
y = x^4 - x^2 + 3
Symmetric with respect to the y-axis.
Let y = -y and x = -x
-y = (-x)^4 - (-x)^2 + 3
-y = x^4 - x^2 + 3
Not symmetric with respect to the origin.
