Question 1036097: What is true for the following graph?
Graph: http://postimg.org/image/qqy51c057/
I. As x → ∞, f(x) → ∞
II. As x → ∞, f(x) → -∞
III. As x → -∞, f(x) → ∞
IV. As x → -∞, f(x) → -∞
V. f(x) is odd
VI. the leading coefficient is negative
Multiple Choices
A.) II, III, and V are true
B.) II, III, V, and VI are true
C.) II, IV, V, and VI are true
D.) I, III, and V are true
Please help is appreciated.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! II and III are true.
The function is symmetrical around the origin, so it is odd, V is true.
The leading coefficient must be negative in this cubic function, because when x becomes large, the function becomes more negative and vice versa. Therefore, VI is true, and B is the answer.
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