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If a cubic equation has a lead coefficient of 2 and a y-intercept of (0, -5), then what do you know about the end behavior as x to infinite?

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Final answer:

As x approaches infinity, the values of y will approach positive or negative infinity, depending on the direction of the cubic curve.

Step-by-step explanation:

Given that the cubic equation has a lead coefficient of 2 and a y-intercept of (0, -5), we can determine the end behavior as x approaches infinity.

For a cubic equation with a positive leading coefficient, as x approaches infinity, the function will also approach infinity. This means that as x becomes very large, the values of y will also become very large in either the positive or negative direction.

Therefore, the end behavior of the given cubic equation as x approaches infinity is that the values of y will approach positive or negative infinity, depending on the direction of the cubic curve.

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