Step 1 :The end behavior of a function is determined by the degree and the leading coefficient of the polynomial. The degree of the given function is 3 (since it's a cubic function) and the leading coefficient is 0.2. Since the degree is odd and the leading coefficient is positive, as x approaches positive infinity, the function approaches positive infinity and as x approaches negative infinity, the function approaches negative infinity.
Step 2 :\(f = (0.2x - 0.4)(x - 5)(x + 1)\)
Step 3 :\(\lim_{{x \to \infty}} f(x) = \infty\)
Step 4 :\(\lim_{{x \to -\infty}} f(x) = -\infty\)
Step 5 :\(\boxed{\text{As } x \rightarrow \infty, f(x) \rightarrow \infty \text{ and as } x \rightarrow-\infty, f(x) \rightarrow-\infty}\)