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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