A Use Transformations to Graph the Function $$y = \log _ { 5 } ( x + 3 )$$

question 309

Multiple Choice

a. Use transformations to graph the function.
b. Write the domain and range in interval notation.
c. Determine the vertical asymptote.
- $$y = \log _ { 5 } ( x + 3 )$$

• A) \(a\). b. domain: \(( 3 , \infty )\), range \(( - \infty , \infty )\) c. vertical asymptote: \(x = 3\)
• B) \(a\). b. domain: \(( 0 , \infty )\), range \(( - \infty , \infty )\) c. vertical asymptote: \(x = 0\)
• C) \(\mathrm { a }\). b. domain: \(( - 3 , \infty )\), range \(( - \infty , \infty )\) c. vertical asymptote: \(x = - 3\)
• D) \(a\). b. domain: \(( 0 , \infty )\), range \(( - \infty , \infty )\) c. vertical asymptote: \(x = 0\)

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Definitions:

Promissory Note

A written promise to pay a specified amount of money on demand or at a definite time.

Current Liability

A company's debts or obligations that are due within one year or within the normal operating cycle, whichever is longer.

Operating Cycle

The duration it takes for a company to buy inventory, sell products, and collect cash from sales, showing the efficiency of its operations.

Interest-Bearing Note

A debt instrument that pays interest to the holder, usually at a fixed rate, until the principal is repaid.