The 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.B.5

CCSS.HSF.IF.C.7

Answer yes or no

• 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

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

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

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 +5x +5,  [-2,6]

• 2
• -2
• 7
• -7

Tags

CCSS.HSF.IF.B.6

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) = 12√(x),  [1,16]

• 2.5
• 6.25
• 14.4
• 6

Tags

CCSS.HSF.IF.B.6

If f''(x)>0 over the interval (-7,1), then what will be true about f'(x)?

• It's constant
• It's increasing
• It's decreasing
• Cannot be determined

• Average Rate of Change
• Instantaneous Rate of Change
• Intermediate Value Theorem
• Average Value of f

Tags

CCSS.HSF.IF.B.6

• (A)
• (B)
• (C)
• (D)