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

question 4

Multiple Choice

Simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } \text {, if } h \neq 0$ for $f ( x ) = x ^ { 2 } + 4$

• A) \(\frac { f ( x + h ) - f ( x ) } { h } = x + h\)
• B) \(\frac { f ( x + h ) - f ( x ) } { h } = 2 x\)
• C) \(\frac { f ( x + h ) - f ( x ) } { h } = 2 x + h\)
• D) \(\frac { f ( x + h ) - f ( x ) } { h } = 2 x + h + 8\)
• E) \(\frac { f ( x + h ) - f ( x ) } { h } = 2 x + h ^ { 2 }\)

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Definitions:

Capacity

The throughput, or number of units a facility can hold, receive, store, or produce in a period of time.

Demand

The quantity of a product or service that consumers are willing and able to purchase at a certain price.

Lead

The initiation or start of a project or process, or the advantage or interval by which someone or something is ahead in a competition or race.

Lag

The time delay between a cause and its observable effect, often used in economics, technology, and signal processing contexts.