Question

Verify rolle theorem for f(x)=|9-x²| in[-3,3]

Answer 1

IF,
$f( - 3) = 9 - ( { - 3}^{2} )$
$f( - 3) = 9 - 9$
$f( - 3) = 0$
Then,
$f(3) = 9 - {3}^{2}$
$f(3) = 9 - 9$
$f(3) = 0$

Answer 2

f(-3)=9-(-3)²

9-9=0

-3² is 9