Thread: math help:functions

y=e^-x^2

determine whether function symmetric to y-axis, orgin, or neither
this is last problem and im kinda stuck

Originally Posted by nurseme

y=e^-x^2

determine whether function symmetric to y-axis, orgin, or neither
this is last problem and im kinda stuck

The tests for symmetry needed are as follows:

A function is symmetric about the y-axis if

that is, replace x with -x in the function, if it simplifies to the original function, then it is symmetric about the y-axis

A function is symmetric about the origin if

that is, replace x with -x, if the function simplifies to being the negative of the original, then it is symmetric about the origin