# Continuity on Closed and Half-Closed Intervals Exercises

### Example 1

What must be true for a function to be continuous on an interval of the form (*a*, *b*]?

### Example 2

What must be true for a function to be continuous on an interval of the form [*a*, *b*]?

### Example 3

Determine if *f* is continuous on each of the following intervals.

- [
*a*,*b*] - [
*a*,*b*) - (
*a*,*b*] - (
*a*,*b*)

### Example 4

Determine if *f* is continuous on each of the following intervals.

- [
*a*,*b*]

- [
*a*,*b*)

- (
*a*,*b*]

- (
*a*,*b*)

### Example 5

Determine if *f* is continuous on each of the following intervals.

- [
*a*,*b*] - [
*a*,*b*) - (
*a*,*b*] - (
*a*,*b*)

### Example 6

Determine if the function

[-1, 0] [-1, 0) (-1, 0] (-1, 0) [0, 1] [0, 1) (0, 1] (0, 1)

### Example 7

Determine if the function

is continuous on each of the following intervals.

- [0, 1]
- [0, 1)
- (0, 1]
- (0, 1)
- [1, 5]
- [1, 5)
- (1, 5]
- (1, 5)