Determine the Equation of the Horizontal Asymptote for the Graph $$f ( x ) = \ln ( x + 2 ) - 4$$

question 56

Multiple Choice

Determine the equation of the horizontal asymptote for the graph of this function, and state the domain and range of
this function.
- $$f ( x ) = \ln ( x + 2 ) - 4$$

• A) Vertical asymptote: \(x = 4\);
• Domain: \(( 4 , \infty )\), Range: \(( - \infty , \infty )\)
• B) Vertical asymptote: \(x = - 4\);
• Domain: \(( - 4 , \infty )\), Range: \(( - \infty , \infty )\)
• C) Vertical asymptote: \(x = - 2\);
• Domain: \(( - 2 , \infty )\), Range: \(( - \infty , \infty )\)
• D) Vertical asymptote: \(x = 2\);
• Domain: \(( 2 , \infty )\), Range: \(( - \infty , \infty )\)

---

Definitions:

Sample Space

The collection of every potential result from a statistical experiment.

Math Classes

Educational courses or lessons focused on the study of numbers, quantities, shapes, and the relationships between them.

Science Courses

Academic classes focused on subjects related to physical, chemical, biological, and earth sciences, aimed at imparting scientific knowledge and principles.

Sample Space

The set of all possible outcomes of a statistical experiment or random trial.