Let

h(x)=x+(x-a)^(2)(x-b)^(2)

where

a

and

b

are constants. Show that

h

equals the average of

a

\ and

b

for some value of

x

.

4. Let h(x)=x+(xa)2(xb)2 where a and b are constants. Show that h equals the average of a and b for some value of x. 4. Let h(x)=x+(xa)2(xb)2 where a and b are constants. Show that h equals the average of a and b for some value of x