Gven the following table, find the rate of change between f(-4) and f(0)
x -4 -2 0 2 4
f(x) -2 -1 0 1 2
A. -2
B. 2
C. -1/2
D. 1/2
we know that
the rate of change is equal to
(f(b)-f(a))/(b-a)
f(b)=f(0)
f(a)=f(-4)
b=0
a=-4
(f(0)-f(-4))/(0+4)
we have that
f(0)=0
f(-4)=-2
substitute
(0+2)/4
2/4
1/2
therefore
