MVT, Incr and decr, concavity

What is the average rate of change of the function below over the indicated interval?
f(x) = x² - 3x - 28,  [-4,7]

• 0
• 11
• 6
• 66

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

What is the derivative of
f(x) = x² - 3x - 28 ?

• 2x - 3
• 2x + 3
• x - 3
• 2x² - 3x - 28

Tags

CCSS.HSF.IF.A.2

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

What is the average rate of change of the function below over the indicated interval?
f(x) = 12√(x),  [1,16]

• 12 / 5
• 1
• 0
• 36

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

What is the derivative of
f(x) = 12√(x) ?  Read the answer choices carefully - there are subtle differences between some of them.

• 6√(x)
• ⁶ / _√(x)
• 12√(x)
• ¹² / _√(x)

What is the average rate of change of the function below over the indicated interval?
f(x) = x² + 5x + 5,  [-2,6]

• 9
• 1
• 72
• 0

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

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

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

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