The function that exhibits the end behavior f(x) → ∞ as x → ∞ and f(x) → -∞ as x → -∞ is when the degree of the leading coefficient is odd and the leading coefficient is positive.
Therefore, it is power; y = x^n, n is odd and greater than zero exhibits that end behavior. (Third option)
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Also, the identity function y = x exhibits that end behavior. (Fourth Option)
The graph of this is: