Reply to thread

Message

[ATTACH=full]3449[/ATTACH]

[ATTACH=full]3450[/ATTACH]

Question 38

Let y = -y

-y = 1/(x^2 + 1)

y = -1/(x^2 + 1)

Not symmetric with respect to the x-axis.

Let x = -x

y = 1/[(-x)^2 + 1)]

y = 1/(x^2 + 1)

Symmetric with respect to the y-axis.

Let y = -y and x = -x

-y = 1/[(-x)^2 + 1)]

-y = 1/(x^2 + 1)

y = -1/(x^2 + 1)

Not symmetric with respect to the origin.

[QUOTE="nycmathguy, post: 1102987, member: 279"] [ATTACH=full]3449[/ATTACH] [ATTACH=full]3450[/ATTACH] Question 38 Let y = -y -y = 1/(x^2 + 1) y = -1/(x^2 + 1) Not symmetric with respect to the x-axis. Let x = -x y = 1/[(-x)^2 + 1)] y = 1/(x^2 + 1) Symmetric with respect to the y-axis. Let y = -y and x = -x -y = 1/[(-x)^2 + 1)] -y = 1/(x^2 + 1) y = -1/(x^2 + 1) Not symmetric with respect to the origin. [/QUOTE]