6. Calculate the locations of maximums and minimums of the following functions: Show work in details. ' f(:r)=z33$+2 ' f(:1:)=:2:48$2+3 7. Find the exact x-value where the function f(a:) = :r + In (3;? _ 1) attains a maximum value. An estimated answer or a calculator answer will not earn any credit. 8. Using the Mean Value Theorem and Rolle's Theorem, show that];3 + :1: _. 1 = 0 has exactly one real root. 9. lff(1) = 10 and f'(:1:) Z 2for1 S a: S 4, how small canf(4) possibly be? 10. The graph of a function is given below. Determine the intervals on which the function is concave up and concave down