Find the difference quotient and simplify your answer.
$f ( s ) = - 2 s ^ { 2 } - 2 s , \quad \frac { f ( 4 + h ) - f ( 4 ) } { h } , h \neq 0$
A) $6 + h$
B) $- 18 - 2 s - \frac { 16 } { s }$
C) $- 2 - 2 s - \frac { 16 } { s }$
D) $- 2 - 2 h$
E) $- 18 - 2 h$

Question

Quizplus · Accepted Answer

The difference quotient simplifies to $-18 - 2h$, by substituting $s = 4$ and $s = 4 + h$ into the function, then subtracting and dividing by $h$.

Find the Difference Quotient and Simplify Your Answer f(s)=−2s2−2s,f(4+h)−f(4)h,h≠0f ( s ) = - 2 s ^ { 2 } - 2 s , \quad \frac { f ( 4 + h ) - f ( 4 ) } { h } , h \neq 0f(s)=−2s2−2s,hf(4+h)−f(4)​,h=0

Find the Difference Quotient and Simplify Your Answer $f ( s ) = - 2 s ^ { 2 } - 2 s , \quad \frac { f ( 4 + h ) - f ( 4 ) } { h } , h \neq 0$