Provide an Appropriate Response $\mathrm { f } ( \mathrm { t } ) = \mathrm { ka } t$

question 284

Multiple Choice

Provide an appropriate response.
-Use the properties of exponents to write the function of the form $\mathrm { f } ( \mathrm { t } ) = \mathrm { ka } t$ , where $\mathrm { k }$ is a constant.
$$f ( t ) = \left( \frac { 1 } { 3 } \right) ^ { 1 - 2 t }$$

• A) \(f ( t ) = \frac { 1 } { 3 } \left( \frac { 1 } { 9 } \right) ^ { t }\)
• B) \(f ( t ) = \left( \frac { 1 } { 3 } \right) 9 ^ { t }\)
• C) \(f ( t ) = 3 \cdot 9 t\)
• D) \(f ( t ) = \left( \frac { 1 } { 9 } \right) 3 ^ { t }\)

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Definitions:

Code-based Processing

Involves deciphering information based on symbolic systems or codes, such as language or mathematics.

Information Processing Approach

describes a cognitive psychology theory that likens human thought processes to the operations of a computer, focusing on how information is taken in, processed, stored, and retrieved.

Empirically Tested

Refers to methods, theories, or measures that have been tested through empirical research, involving observation and experiment.

Piaget and Vygotsky

Prominent theorists in developmental psychology, Jean Piaget is known for his theory of cognitive development, while Lev Vygotsky is famous for his theory on social development and the concept of the Zone of Proximal Development.