Testing for Symmetry...4

[nycmathguy]

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.

 

[MathLover1]

correct

 

[nycmathguy]

correct

Back to Calculus tomorrow through Sunday. No math tonight.

Two reasons:

1. I am very tired.

2. Need a mental break.