Provide an Appropriate Response $f ( x ) = a ^ { x } , \text { why must } a \neq 1$

question 188

Essay

Provide an appropriate response.
-With the exponential function f(x) $f ( x ) = a ^ { x } , \text { why must } a \neq 1$

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Definitions:

Triarchic Theory

A theory of intelligence proposed by Robert Sternberg, suggesting intelligence is composed of analytical, creative, and practical abilities.

Robert Sternberg

An American psychologist best known for his theory on intelligence and creativity, including the triarchic theory of intelligence.

Hindsight Bias

The tendency to believe, after learning an outcome, that one would have foreseen it, often referred to as the "I-knew-it-all-along" phenomenon.

Mental Set

A framework for thinking about a problem based on previous experiences and solutions, which can both aid and limit problem-solving ability.