a) determine whether the mean value theorem applies to the following functions on the given interval [a,b]. b) if so, find or approximate the points that are guaranteed to exits by the mean value...

a) determine whether the mean value theorem applies to the following functions on the given interval [a,b].

b) if so, find or approximate the points that are guaranteed to exits by the mean value theorem.

c) make a sketch of the function and the line that passes through (a,f(a)) and (b,f(b)). use desmos graphing to do this and take a screenshot of the graph.

i) f(x)=6-x²; (1,2)

ii) f(x)=x + 1/x ; (1,3)