Give the Domain and Range for the Rational Function $$f ( x ) = \frac { 2 } { x } + 3$$

question 356

Multiple Choice

Give the domain and range for the rational function. Use interval notation.
- $$f ( x ) = \frac { 2 } { x } + 3$$

• A) Domain: \(( - \infty , 0 ) \cup ( 0 , \infty )\); Range: \(( - \infty , - 3 ) \cup ( - 3 , \infty )\)
• B) Domain: \(( - \infty , 3 ) \cup ( 3 , \infty )\); Range: \(( - \infty , 0 ) \cup ( 0 , \infty )\)
• C) Domain: \(( - \infty , 2 ) \cup ( 2 , \infty )\); Range: \(( - \infty , 3 ) \cup ( 3 , \infty )\)
• D) Domain: \(( - \infty , 0 ) \cup ( 0 , \infty )\); Range: \(( - \infty , 3 ) \cup ( 3 , \infty )\)

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Definitions:

Seasonal Variation

The fluctuations in data or activity that occur at specific regular intervals due to seasonal factors, such as quarterly or annually.

Steady Growth

A consistent and uninterrupted increase in size, value, quantity, or extent over a period of time.

Exponential Smoothing

A time series forecasting method for univariate data that applies weighted averages of past observations, giving more weight to recent observations.

Long-term Trend

The persistent movement or direction in data over a long period, revealing a general pattern of change.