Question 5 • Algebraic Reasoning
The y-intercept is f(0) = 20, which is positive, so A is correct. Since f is a polynomial, its domain is all real numbers, making B correct. Its leading term is x³, so as x approaches negative infinity, the function also approaches negative infinity; C is correct. D is false because the function does not always increase, and E is false because a cubic with positive leading coefficient has a range of all real numbers.
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