Find the maximum and minimum value(s) of f(x) in the interval [0,1]. Work through the steps below to find and prove the extrema using the Extreme Value Theorem (EVT).
a. f(0)=−1,f(1)=3
b. f(0)=3,f(1)=−1
c. f(0)=1,f(1)=−3
d. f(0)=−3,f(1)=1