Question

Find the difference quotient of f
f(x+h)-f(x)/h, h does not equal 0
f(x)=-8x+4

Answer 1

f(x)=-8x+4
f(x +h) = -8(x+h) +4 = -8x -8h +4
f(x+h)-f(x)/h = [ -8x -8h +4 -(-8x +4) ] / h = (-8x -8h +4 +8x -4) / h
= -8h/h = -8

Answer 2

\[f(x+h)=-8(x+h)+4=-8x-8h+4\]
\[f(x+h)-f(x)=/8x-8h+4-(8x+4)=-8h\]
\[\frac{f(x+h)-f(x)}{h}=\frac{8h}{h}=-8\] aka the slope

Answer 3

lol those are your favorite problems satellite :D

Answer 4

yeah i an noticed not one but two typos

Answer 5

my all time favorite one of these to work out was
\[f(x)=\sqrt[3]{x^2}\]