A Use Transformations to Graph the Function $$y = \log _ { 4 } ( x - 1 )$$

question 19

Multiple Choice

a. Use transformations to graph the function.
b. Write the domain and range in interval notation.
c. Determine the vertical asymptote.
- $$y = \log _ { 4 } ( x - 1 )$$

• A)a. b. domain: \(( - 1 , \infty )\), range \(( - \infty , \infty )\) c. vertical asymptote: \(x = - 1\)
• B)a. b. domain: \(( 0 , \infty )\), range \(( - \infty , \infty )\) c. vertical asymptote: \(x = 0\)
• C)a. b. domain: \(( 0 , \infty )\), range \(( - \infty , \infty )\) c. vertical asymptote: \(x = 0\)
• D)a. b. domain: \(( 1 , \infty )\), range \(( - \infty , \infty )\) c. vertical asymptote: \(x = 1\)

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Definitions:

Free Cash Flow

The amount of cash generated by a business after accounting for capital expenditures needed to maintain or expand the asset base.

Common Stock

A type of security that represents ownership in a corporation, entitling the shareholder to a proportion of the corporation's assets and profits.

Depreciation

The systematic allocation of the cost of an asset over its useful life.

Net Income

The total revenue of a company minus its expenses, taxes, and the cost of goods sold, indicating the company's profit.