Use Transformations to Graph the Function $f(x)=4^{(x-1)}$ A) Domain of F $( - \infty , \infty )$

question 294

Multiple Choice

Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.
- $f(x) =4^{(x-1) }$

• A) domain of f: \(( - \infty , \infty )\); range of \(\mathrm { f } : ( 0 , \infty )\) horizontal asymptote: \(y = 0\)
• B) domain of \(f : ( - \infty , \infty )\); range of \(f : ( 0 , \infty )\) ) horizontal asymptote: \(y = 0\)
• C) domain of \(\mathrm { f } : ( - \infty , \infty )\); range of \(\mathrm { f } : ( - \infty , 0 )\) horizontal asymptote: \(y = 0\)
• D) domain of \(f : ( - \infty , \infty )\); range of \(f : ( - \infty , 0 )\) horizontal asymptote: \(y = 0\)

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Definitions:

Equilibrium Price

The price point at which the quantity of a good or service supplied equals the quantity demanded.

Consumer Surplus

The disparity in what consumers are willing to invest in a good or service compared to what they eventually invest.

Demand Shifts

Occur when external factors lead to a change in the amount of a product or service that consumers are willing and able to buy at a given price, resulting in the demand curve moving rightward or leftward.

New Equilibrium

The point at which market supply and demand balance each other, and, as a result, prices become stable following a disturbance.