First, find the derivative \(f'(x)\) to determine the behavior of the function:

\(f'(x) = 5x^4 - 30x^2 + 50\).

To analyze whether \(f(x)\) is increasing or decreasing, we need to check the sign of \(f'(x)\).

Consider \(f'(x) = 5(x^2 - 3)^2 + 5\).

Since \((x^2 - 3)^2 \geq 0\) for all \(x\), it follows that \(5(x^2 - 3)^2 + 5 > 0\) for all \(x\).

Thus, \(f'(x) > 0\) for all \(x\), indicating that \(f(x)\) is an increasing function.