- #1

brochesspro

- 87

- 19

- Homework Statement:
- Determine whether the function ##f(x^2)## is an even function, or an odd function, or neither, where ##f(x)## is an arbitrary function.

- Relevant Equations:
- Given below.

I think the answer is an even function as the function ##x^2## is an even function and thus, is symmetrical w.r.t. Y axis. The question I have is how to do this problem algebraically. I tried to graph some functions on GeoGebra to verify my answer.

a) ##y = ln(x^2)##

b) ##y = sin(x^2)##

These are the two functions I tried, and both look pretty even to me. Please help me solve this problem. Thank you.