What is the correct explanation on discontinuity at x = b ?

• Removable discontinuity

• Jump discontinuity

• Infinite discontinuity

The function is continuous at x = a . True or false?

• True

• False

Which of the following best describes the continuity at x = 1?

• Continuous
• Removable Point Discontinuity
• Non-removable Infinite Discontinuity
• Non-removable Jump Discontinuity

• I only
• I and II only
• I and III only
• All of these

• 0
• 1
• 2
• None of these

• Yes, because f(2) is negative and f(3.1) is positive.

• No, because f(2) is negative and f(3.1) is also negative.

• Yes, because f(2) is positive and f(3.1) is negative.

• No, because there is a discontinuity at x = 3.

• No, because f(2) is positive and f(3.1) is also positive.

• [-1, 0]

• [0, 1]

• [1, 2]

• (-1, 1)

Determine the interval(s) for which the function is continuous. Select all that apply.

• (p, 0)

• [0, q]

• [q, r]

• (r, s)

• (q, s)

Assume f(x) is continuous over the interval [-2, 3]. The function f has at least how many zeros?

• 1

• 2

• 3

• 4

Suppose h is a continuous function containing the ordered pairs shown in the table. On which interval must h have a zero?

• (12.163, 12.164)

• (12.164, 12.165)

• (12.165, 12.166)

• (12.166, 12.168)