Graph the Rational Function $f ( x ) = \frac { x ^ { 4 } - 3 x ^ { 3 } + x ^ { 2 } - x - 12 } { 2 x ^ { 3 } + 5 x ^ { 2 } - 28 x - 15 }$

question 64

Essay

Graph the rational function $f ( x ) = \frac { x ^ { 4 } - 3 x ^ { 3 } + x ^ { 2 } - x - 12 } { 2 x ^ { 3 } + 5 x ^ { 2 } - 28 x - 15 }$ and determine all vertical asymptotes. Then graph $f$ and $g ( x ) = \frac { 1 } { 2 } x - \frac { 11 } { 4 }$ , on the same screen, to show that they have the same end behavior.

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Production Possibilities Frontier

A curve depicting all maximum output possibilities for two or more goods given a set of inputs (resources, technology, etc.), assuming efficient use of resources.

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