For what values of a, m, and b does the function f(x) satisfy the hypotheses of the mean value theorem on the interval [0,3]?
{ 2, x=0}
f(x) = { -x^2+3x+a, 0
{ mx+b, 1<=x<=3}
I understand how to find a, I understand I set the third equation equal to the second equation at x=1 with the new a value included, but I do not understand how how to spilt up 4 between m and b.
