Find Equations of the Tangent Lines to the Curve $y = \frac { x - 8 } { x + 8 }$

question 54

Multiple Choice

Find equations of the tangent lines to the curve $y = \frac { x - 8 } { x + 8 }$ that are parallel to the line $x - y = 8$ .

• A) \(x - y = - 18.5\)
• B) \(x - y = - 4.5\)
• C) \(x - y = - 1.5\)
• D) \(x - y = - 12.5\)
• E) \(x - y = - 15\)

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Definitions:

Acquisition

The phase during learning when a response is established and gradually strengthened.

Stimulus Generalization

The process by which a response that has been learned to one stimulus is also elicited by similar, but not identical, stimuli.

Stimulus Generalization

A process in conditioning where a response to a specific stimulus becomes associated with other stimuli that are similar to the original stimulus.

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A type of frog that secretes toxins through its skin as a defense mechanism against predators.