Find $f ( x )$ If $f ( 4 ) = - 8$

question 2

Multiple Choice

Find $f ( x )$ if $f ( 4 ) = - 8$ and the tangent line at $( x , f ( x ) )$ has slope $7 e ^ { x } + 4$ . ?

• A) \(f ( x ) = 7 e ^ { x } + 4 x - 7 e ^ { 4 } + 24\)
• B) \(f ( x ) = 7 e ^ { x } + 4 x + 7 e ^ { 4 } + 24\)
• C) \(f ( x ) = 7 e ^ { x } + 4 x + 7 e ^ { 4 } - 24\)
• D) \(f ( x ) = 7 e ^ { x } + 4 x - 7 e ^ { 4 } - 24\)
• E) \(f ( x ) = 7 e ^ { x } - 4 x - 7 e ^ { 4 } + 24\)

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Definitions:

Test Writer's Construct

The underlying concept or theory that a test developer believes is being assessed by a psychological test or measurement.

Projective Test

A type of personality test designed to let a person respond to ambiguous stimuli, potentially revealing hidden emotions and internal conflicts.

Inkblot

Used in psychological tests (e.g., Rorschach test) where perceptions of inkblots are analyzed to assess an individual's personality and emotional functioning.

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A professional who evaluates or studies a particular domain, such as financial data, systems, or psychological behavior.