We have the following definitions:
A function is even if, for each x in the domain of f, f (- x) = f (x)
A function is odd if, for each x in the domain of f, f (- x) = - f (x)
Let's see the given function:
j (x) = x ^ 4-3x ^ 2-4
j (-x) = (- x) ^ 4-3 (-x) ^ 2-4
Rewriting:
j (-x) = (x) ^ 4-3 (x) ^ 2-4
j (-x) = j (x)
Answer:
The function is even
