(Removable) 3. Types of Non-Differentiability The slope on left approach must agree with slope on right approach. Not continuous Corner/ cusp Vertical tangent 15. For what values of a and b is the function g(x) = x2 - a, x52 continuous and differentiable? bx - 8, x> 2 4. Intermediate Value Theorem 16. f(x) is continuous on [2, 4] and differentiable on (2,4). If f(2) =6 and f (3) = -2 and f(4) = 6: a. How many solutions are guaranteed? b. Does f(x) =2 for a value of x in the interval [2, 4]? c. Can f(x) =8 for some value of x in the interval [2, 4]