Determine Which of the Rational Functions Given Below Has the Following

question 253

Multiple Choice

Determine which of the rational functions given below has the following feature(s) .
- $x$ -intercepts: $( - 1,0 )$ and $( - 2,0 ) , y$ -intercepts: $\left( 0 , \frac { 2 } { 25 } \right)$ , vertical asymptote: $x = 5$ , horizontal asymptote: $y = 1$

• A) \(f ( x ) = \frac { ( x - 1 ) ( x - 2 ) } { ( x + 5 ) ^ { 2 } }\)
• B) \(f ( x ) = \frac { ( x - 1 ) ( x - 2 ) } { ( x + 5 ) }\)
• C) \(f ( x ) = \frac { ( x + 1 ) ( x + 2 ) } { ( x - 5 ) }\)
• D) \(f ( x ) = \frac { ( x + 1 ) ( x + 2 ) } { ( x - 5 ) ^ { 2 } }\)

---

Definitions:

75th Percentile

A value below which 75% of the data in a dataset falls, indicating the upper quartile of the distribution.

Quartile

A type of quantile which divides a rank-ordered data set into four equal parts.

Central Tendency

A measure that represents the center or typical value of a dataset, commonly identified through the mean, median, or mode.

Standard Deviation

A measure that describes the amount of variation or dispersion of a set of values from the mean, indicating the spread or variability of the data.