Watch the video and then solve the problem below. Use the leading coefficient te

Question

Watch the video and then solve the problem below. Use the leading coefficient test to determine whether y rightarrow infinity or y rightarrow -infinity as x rightarrow infinity and as x rightarrow -infinity. y = x^5 - 4x^3 + 4x Choose the correct answer below. A. As x rightarrow infinity, y rightarrow infinity, and as x rightarrow, - infinity, y rightarrow, infinity. B. As x rightarrow infinity y rightarrow - infinity, and as x rightarrow - infinity, y rightarrow -infinity. C. As x rightarrow infinity, y infinity -infinity, and as x rightarrow - infinity, y rightarrow infinity. D. As x rightarrow infinity, y rightarrow infinity, and x rightarrow -infinity, y rightarrow -infinity.

Explanation / Answer

ANS: Here the leading coefficient is 1 that is positive and degree of function is 5 so it's odd.

For odd function with positive leading coefficient the graph rises to right and falls to left (for remembering purpose you can remember the simple graph of y = x) so as x goes to + graph moves to right and rises so y will be +

As x goes to left that is - graph fall to -.

NOTE: represents infinity.

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