Compute and Simplify the Difference Quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$

question 278

Multiple Choice

Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$
- $$f ( x ) = 2 x ^ { 2 } + 7 x$$

• A) \(6 x - 4 h + 14\)
• B) \(4 x ^ { 2 } + 2 h + 7 x\)
• C) \(4 x + 7\)
• D) \(4 x + 2 h + 7\)

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Definitions:

Natural Response

An unlearned or innate reaction to a given stimulus, typically occurring without conscious thought.

White Rats

Commonly used laboratory animals that serve as subjects in a wide range of scientific experiments, notable for their role in psychology and biology research.

Classical Conditioning

The process of learning in which two stimuli are systematically paired together, so that a response first drawn out by the second stimulus is in time drawn out by only the first stimulus.

Unconditioned Stimulus

A stimulus that naturally triggers a reflex or response without the need for prior learning.