Function with 90 degree rotational symmetry about the origin?
I haven't done calculus level math in a long time, and this question has got me stumped:
Describe a function defined on all real numbers which has 90 degree rotational symmetry about the origin - I'm told it ends up being a piecewise function with infinitely many pieces, but it also has to pass the vertical line test, which is where I get stuck. Something like a triskele would fit the rotational symmetry but wouldn't pass the vertical line test. What am I missing here?
Any help would be greatly appreciated!
Describe a function defined on all real numbers which has 90 degree rotational symmetry about the origin - I'm told it ends up being a piecewise function with infinitely many pieces, but it also has to pass the vertical line test, which is where I get stuck. Something like a triskele would fit the rotational symmetry but wouldn't pass the vertical line test. What am I missing here?
Any help would be greatly appreciated!