Let $f ( x ) = - 5 x + 2$ Then $\frac { f ( x + h ) - f ( x ) } { h }$ is

A)-1
B)1
C)-5
D)5
E)-5 + h

Name: Let $f ( x ) = - 5 x + 2$ Then $\frac { f ( x + h ) - f ( x ) } { h }$ is A)-1 B)1 C)-5 D)5 E)-5 + h
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Question

Let $f ( x ) = - 5 x + 2$ Then $\frac { f ( x + h ) - f ( x ) } { h }$ is

A)-1
B)1
C)-5
D)5
E)-5 + h

Quizplus · Accepted Answer

The expression $\frac { f ( x + h ) - f ( x ) } { h }$ simplifies to $\frac { -5(x+h)+2 - (-5x+2) } { h } = \frac { -5x-5h+2+5x-2 } { h } = \frac { -5h } { h } = -5$, which corresponds to choice C.

Let f(x)=−5x+2f ( x ) = - 5 x + 2f(x)=−5x+2

Let $f ( x ) = - 5 x + 2$