Intermediate Value Theorem
Continuity :
The following types of functions are continuous at every number in their domains:
- Polynomials
- Rational functions
- Root functions
- Trigonometric functions
- Inverse trigonometric functions
- Exponential functions
- Logarithmic functions
In each case,of the following graphs can’t be drawn without lifting the pen from the paper—because a hole or break or jump occurs in the graph.
Example 1