Mean Value Theorem

Does the mean value theorem apply to g on [- 2, 5]

• yes

• no

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.5

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

• yes

• no

Tags

CCSS.HSF.IF.B.6

Answer yes or no

• yes

• no

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The Mean Value Theorem applies to f(x) = 3x - x² on the interval [2, 5]. Find the value of x where the slope of the tangent line is equal to the slope of the secant line

• 2

• -4

• 3.5

• -2

Tags

CCSS.HSF.IF.B.6

• Average Rate of Change
• Average Value of f
• Intermediate Value Theorem
• Rolle's Theorem

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

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

What is x-value at which the function below has the same slope as the average rate of change over the indicated interval?
f(x) = x² - 3x - 28,  [-4,7]

• 1.5
• -1.5
• 0.5
• -0.5

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4