Mean Value Theorem

• Mean value theorem
• Rolle's theorem
• Intermediate Value Theorem
• Fundamental Theorem of Calculus

Tags

CCSS.HSA.REI.D.10

The Mean Value Theorem applies to f(x) = 3x - x² on the interval [2, 5]. Find the value of x satisfying mean value theorem.

• 2

• -4

• 3.5

• -2

Tags

CCSS.HSF.IF.B.6

Find the value of x that satisfies the mean value theorem over the indicated interval?

f(x) = x² +5x +5,  [-2,6]

• 2
• -2
• 5

• 3.5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.6

• YES
• NO

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

For which theorem does it NOT matter that the function be differentiable over (a, b)?

• Both EVT & MVT

• MVT

• EVT

• Neither EVT or MVT

Does the mean value theorem apply to f on [0, 5] ?

• yes

• no

Tags

CCSS.HSF.IF.B.6

• YES
• NO

Tags

CCSS.HSA.REI.D.10

Does the mean value theorem apply to f on [0, 5] ?

• yes

• no

Tags

CCSS.HSF.IF.B.6