Question
What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3
Asked by: USER4167
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88 Answers
Answer (88)
This is an odd polynomial. Note that the odd poly y=x^3 starts in Quadrant III and ends in Quadrant I. Same for y=x^5. However, y= -x^5 starts in Q II and ends in Q IV.
Thus, if x becomes increasingly neg, -x^5 increases in QII; if x becomes increasingly positive, -x^5 decreases in Q IV.
Thus, if x becomes increasingly neg, -x^5 increases in QII; if x becomes increasingly positive, -x^5 decreases in Q IV.
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