Determine Zeros Determine Zeros Determine If a Graph Is Continuous or Discontinuous

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)

Based on the graph, identify where the discontinuities are located.

(Select all that apply.)

• x = -4

• x = 2

• x = -1

• x = 4

• continuous

• discontinuous, essential

• discontinuous, removable

• discontinuous, jump

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

• 1

• 2

• 3

• 4

Identify the zeros:

• x=-2, x=-1, x=0

• x=-2, x=0

• x=-1, x=0, x=2

• x=-2, x=0, x=1

What are zeros of the graph?

(a)   (b)  

• (1, 0)

• (5, 0)

• (3, -4)

• (0, 5)

• (0, 1)

• (-2.55, 0), (2.55, 0)
• (-3, 0), (-2, 0), (2, 0), (3, 0)
• (0, 36)
• (0, -3), (0, -2), (0, 2), (0, 3)

Given the function f(x) = x³ + x - 3, which of the intervals below contains a zero?

• [-1,1]

• [0,1]

• [1,2]

• None of these intervals

Evaluate

• -7

• 0

• 1

• DNE