What value(s) c, if any, are predicted by the Mean Value Theorem for the function f(x)=(x-2)2 on the interval [0,2]?
f′(c)=f(2)−f(0)2−0=(2−2)2−(0−2)22=−2f′(c)=2c−4∴2c−4=−22c−4=−22c=2c=1