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) \(f ( x ) = \frac { ( x + 1 ) ( x + 2 ) } { ( x - 5 ) ^ { 2 } }\)

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Definitions:

Inflation

The inflationary pace at which prices for all goods and services mount, lessening purchase value.

Nominal Interest Rate

The interest rate before adjustments for inflation, representing the rate of interest charged by banks or paid on investments.

Expected Rate

The anticipated return on an investment over a specific period, often used for forecasting.

Inflation

A rise in the general price levels of goods and services in an economy over a period of time.