This exercise is intended to challenge your understanding of...

This exercise is intended to challenge your understanding of higher-order polynomial functions.\ y = ax^2 + bx + c\ Describe the end behavior of the function when a > 0.\ As x \to -\infty, y \to As x \to \infty, y \to \ Describe the end behavior of the function when a < 0.\ As x \to -\infty, y \to \ As x \to \infty, y \to

Every polynomial has one of the following behaviors: $$\begin{array}{l}{\text { (i) } y \rightarrow \infty \text { as } x \rightarrow \infty \text { and } y \rightarrow \infty \text { as } x \rightarrow-\infty} \\ {\text { (ii) } y \rightarrow \infty \text { as } x \rightarrow \infty \text { and } y \rightarrow-\infty \text { as } x \rightarrow-\infty} \\ {\text { (iii) } y \rightarrow-\infty \text { as } x \rightarrow \infty \text { and } y \rightarrow \infty \text { as } x \rightarrow-\infty} \\ {\text { (iv) } y \rightarrow-\infty \text { as } x \rightarrow \infty \text { and } y \rightarrow-\infty \text { as } x \rightarrow-\infty}\end{array}$$ For each polynomial, choose the appropriate description of its end behavior from the list above. (a) $y=x^{3}-8 x^{2}+2 x-15 :$ end behavior _____. (b) $y=-2 x^{4}+12 x+100 :$ end behavior _____.

Polynomial and Rational Functions

Polynomial Functions and Their Graphs

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