### 2.5: Adjectives for Functions

Read Section 2.5 (pages 51-54). The intuitive notion of a continuous function is made precise using limits. In addition, you will be introduced to the Intermediate Value Theorem, which rigorously captures the intuitive behavior of continuous real-valued functions.

### 2.5.1: Continuous Functions

Click the link to Book I, and click on the "Index" button. Click on button 26 (A missing value). Work on problems 15-26. Return to the "Index," and click on button 27 (Discontinuities of simple piecewise defined functions). Complete problems 1-10. If at any time the problem set becomes too easy for you, feel free to move on.

### 2.5.2: Differentiable Functions

Click the link to Book I, and click on the "Index" button. Click on button 39 (Differentiability). Complete problems 1-10. If at any time the problem set becomes too easy for you, feel free to move on.

### 2.5.3: The Intermediate Value Theorem

Watch this brief video for an explanation on the Intermediate Value Theorem.