Question

what is the rate of change of: [0,5] , [-3,3] , [-5,3] , [-3,5]

Answer 1

For our first interval,(0,5), we find our rate of change as

$\frac{f(x)_2-f(x)_1_{}}{x_2-x_1}$

For (0,5)

$\frac{28-3}{5-0}=\text{ 5}$

For (-3,3)

$\frac{12-12}{3-(-3)}=0$

For (-5,3)

$\frac{12-28}{3-(-5)}=\frac{-16}{8}=-2$

For (-3,5)

$\frac{28-12}{5-(-3)}=\frac{16}{8}=2$