intermediate value theorem

• increasing

• extraneous

• continuous

• undefined

• [0.5, 1.5]

• [-1, 1]

• [-2, 0]

• [1, 1.5]

Tags

CCSS.HSF-IF.C.7B

Suppose t is a continuous function containing the ordered pairs shown in the table. On which interval(s) must t attain a value of -2.5? Select all that apply.

• (1, 2)

• (2, 3)

• (3, 4)

• (4, 5)

• (5, 6)

Suppose f is a continuous function containing the ordered pairs shown in the table. On which interval(s) must f attain a value of 5.9? Select all that apply.

• (-3, -2)

• (-2, -1)

• (0, 1)

• (1, 2)

• (2, 3)

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)

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

• 1

• 2

• 3

• 4

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

• (p, 0)

• [0, q]

• [q, r]

• (r, s)

• (q, s)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

• [-1, 0]

• [0, 1]

• [1, 2]

• (-1, 1)

• 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.

• (0, 0.5)

• (0.5, 1)

• (1, 1.5)

• (1.5, 2)