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# 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

is continuous on each of the following intervals.

• [-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)