If the degree of a polynomial f(x) is even and the leading coefficient is positive, then f(x) → ∞ as x → ±∞. If f(x) is an even degree polynomial with negative leading coefficient, then f(x) → -∞ as x →±∞.
Even-degree polynomial functions, like y = x2, have graphs that open upwards or downwards. The leading coefficient of a polynomial function is the coefficient of the term with the highest degree.
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Answer:
If the degree of a polynomial f(x) is even and the leading coefficient is positive, then f(x) → ∞ as x → ±∞. If f(x) is an even degree polynomial with negative leading coefficient, then f(x) → -∞ as x →±∞.
Even-degree polynomial functions, like y = x2, have graphs that open upwards or downwards. The leading coefficient of a polynomial function is the coefficient of the term with the highest degree.
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