### Home > CALC > Chapter 7 > Lesson 7.2.4 > Problem 7-103

7-103.

Continuous implies that the pieces of the function agree at the boundary points.

Differentiable implies that the pieces of the derivative agree at the boundary points.

For each boundary point, *x* = 0 and *x* = 4, write and solve a system of equations.

One equation connects *f*(*x*), the other connects *f* '(*x*).