Find and simplify the difference quotient of f $\frac { f ( x + h ) - f ( x ) } { h }$ , h ≠ 0, for the function.
-f(x) = 4x - 2
A) 0
B) $4 + \frac { - 4 } { h }$
C) $4 + \frac { 8 ( x - 2 ) } { h }$
D) 4

Question

Find and simplify the difference quotient of f $\frac { f ( x + h ) - f ( x ) } { h }$ , h ≠ 0, for the function.
-f(x) = 4x - 2
A) 0 
B) $4 + \frac { - 4 } { h }$
C) $4 + \frac { 8 ( x - 2 ) } { h }$
D) 4

Quizplus · Accepted Answer

The difference quotient for the function $f(x) = 4x - 2$ is calculated as follows: $\frac{f(x+h) - f(x)}{h} = \frac{(4(x+h) - 2) - (4x - 2)}{h} = \frac{4x + 4h - 2 - 4x + 2}{h} = \frac{4h}{h} = 4$. This simplifies to 4, indicating that the rate of change of the function is constant.

Find and Simplify the Difference Quotient of F f(x+h)−f(x)h\frac { f ( x + h ) - f ( x ) } { h }hf(x+h)−f(x)​

Find and Simplify the Difference Quotient of F $\frac { f ( x + h ) - f ( x ) } { h }$