Find $\frac { f ( a + h ) - f ( a ) } { h }$ for f ( x )= - x 2 - 7.
A)h + a
B)-7
C)-2 a - h
D)7 a
E)-2 a 2 - h

Question

Quizplus · Accepted Answer

The given function is $f(x) = -x^2 - 7$. To find $\frac{f(a + h) - f(a)}{h}$, we substitute $x = a + h$ and $x = a$ into the function:1. $f(a + h) = -(a + h)^2 - 7$2. $f(a) = -a^2 - 7$Then, $\frac{f(a + h) - f(a)}{h} = \frac{-(a + h)^2 - 7 - (-a^2 - 7)}{h} = \frac{-a^2 - 2ah - h^2 + a^2}{h} = \frac{-2ah - h^2}{h} = -2a - h$.

Find f(a+h)−f(a)h\frac { f ( a + h ) - f ( a ) } { h }hf(a+h)−f(a)​

Find $\frac { f ( a + h ) - f ( a ) } { h }$