Using the classification for even and odd functions, it is found that the function is even, because f(-x) = f(x).
How we verify if the function is even, odd, or neither?
- If for all values of x, f(x) = f(-x), the function is even.
- If for all values of x, f(-x) = -f(x), the function is odd.
- If neither of these statements are true, the function is neither even nor odd.
Graphing the function [tex]f(x) = 3x^4 - 5x^2[/tex], for every value of x, f(x) = -f(x), that is, the function is symmetric over the y-axis, hence it is even.
More can be learned about even and odd functions at https://brainly.com/question/5634052
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