Give the Domain and Range for the Rational Function $$f ( x ) = \frac { 1 } { x + 1 }$$

question 38

Multiple Choice

Give the domain and range for the rational function. Use interval notation.
- $$f ( x ) = \frac { 1 } { x + 1 }$$

• A) Domain: \(( - \infty , - 1 ) \cup ( - 1 , \infty )\); Range: \(( 0 , \infty )\)
• B) Domain: \(( - \infty , - 1 ) \cup ( - 1 , \infty )\); Range: \(( - \infty , 0 ) \cup ( 0 , \infty )\)
• C) Domain: \(( - \infty , 1 ) \cup ( 1 , \infty )\); Range: \(( - \infty , 0 ) \cup ( 0 , \infty )\)
• D) Domain: \(( - \infty , 0 ) \cup ( 0 , \infty )\); Range: \(( - \infty , - 1 ) \cup ( - 1 , \infty )\)

---

Definitions:

Uniform Distribution

A type of probability distribution where all outcomes are equally likely over a certain range of values.

Probability Density

A function that describes the relative likelihood for a random variable to take on a given value, primarily used in continuous probability distributions.

Random Variable

A variable that takes on a range of values determined by a random phenomenon, and it's described by its probability distribution.

Probability Density

A mathematical function that specifies the likelihood of a continuous variable taking on a particular value, critical in the context of continuous probability distributions.