1. The problem statement, all variables and given/known data
For what values of a,m, and b does the function

satisfy the hypothesis of the Mean Value Theorem of the interval [0,2].

2. Relevant equations
(f(b) - f(a))/(b-a) = f'(c)

3. The attempt at a solution
So, I wanted to make a point of continuity for the whole equation. So, I set the equation to x=1 in both cases and then equated them, and got;
2+a=m+b ---> a=m+b-2

Then, I found the derivative of the original equation and set x again to 1, then equated the two given that were diffable, and got;
m+b=1+a

Now I can't get any values for a,b, or m without getting:
3=0