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.

---

Definitions:

Percentile Score

A score that indicates the relative standing of an individual in a particular population, showing the percentage of scores that fall below a specific point.

Construct Validity

The extent to which a test measures what it claims to be measuring, ensuring the theoretical constructs are accurately reflected in the testing process.

Low Reliability

A property of measurement indicating inconsistency or lack of uniformity in the results obtained.

Reliability Estimates

Measurements or calculations used to assess the consistency of results produced by a test, survey, or measurement tool over time.