Determine the Equation of the Horizontal Asymptote for the Graph $$f ( x ) = 3 ^ { x - 2 }$$

question 116

Multiple Choice

Determine the equation of the horizontal asymptote for the graph of this function, and state the domain and range of
this function.
- $$f ( x ) = 3 ^ { x - 2 }$$

• A) Horizontal asymptote: \(y = 3\);
• Domain: \(( - \infty , \infty )\), Range: \(( 3 , \infty )\)
• B) Horizontal asymptote: \(\mathrm { y } = 0\);
• Domain: \(( - \infty , \infty )\), Range: \(( 0 , \infty )\)
• C) Horizontal asymptote: \(y = 2\);
• Domain: \(( - \infty , \infty )\), Range: \(( 2 , \infty )\)
• D) Horizontal asymptote: \(y = - 2\);
• Domain: \(( - \infty , \infty )\), Range: \(( - 2 , \infty )\)

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