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:

Cognitive Ability

The capacity to perform higher mental processes of reasoning, remembering, understanding, and problem solving.

Continuous Change

A process where variables or conditions evolve over time without abrupt interruptions.

Discontinuous Change

Abrupt, non-linear transformations in development or processes that can significantly alter conditions or outcomes.