Unit 1: Continuity and IVT

The function g is continuous on the interval [0, 5] and has select values in the table. The equation g(x) = 1 must have at least 2 solutions in the interval [0, 5] if k = ?



• 6

• 0

• 2

• 1

Find the value that will make the following continuous

• -3
• -2
• -1
• c=0

Tags

CCSS.HSA.REI.D.10

Find where the function is continuous

• (-∞,-1)(-1,2)(2,∞)
• (-∞,-2)(-2,∞)
• (-∞,∞)
• (-∞,-2)(-2,0)(0,∞)

Tags

CCSS.HSF.IF.B.5

• A

• B

• C

• D

Tags

CCSS.HSA.REI.A.2

• B
• C
• D
• E

Tags

CCSS.HSA.REI.D.11

• I only

• II only

• I, II, III

• None

Tags

CCSS.HSA.SSE.A.1

Let f be a function that is continuous on the interval (1, 10). If f(2) = -5 , f(5) = 5 and f(9) = -5, which must be true?

I.  f(x) has a least 2 zeros
II.  For some c, 2 < c < 9, f(c) = 3  
III.  The graph of f(x) has a horizontal tangent

• I. only
• I. and II.
• I. , II. and III.
• II. and III.

Find the value that makes the function continuous

• c=1/3
• c=3
• c=-3
• c=-1/3