I went in to my professor for "extra help" on this problem and left more confused than before I went in.
Can someone on here try to explain this to me!
For what values of a, m, and b does the function satisfy the hypotheses of the Mean Value Theorem on the inverval [0, 2]
f(x)= 3, x=0
f(x)=-x^2 + 3x + a, 0<x<1
f(x)=mx + b 1</= x </= 2
Thank you so much for any help!