Calculus Review for Quiz 6. Mean Value Theorem, Average & Instan

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

• 2
• 1/2
• -2
• -1/2

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

• -4

• -1/4

• 3

• -2

Tags

CCSS.HSF-LE.A.1B

Find the average rate of change from (-8, -4)

• -2/5
• -5/2

• 5/2
• 2/5

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

What is the average rate of change of [1, 5]?

• -0.65
• -0.75
• 3.75
• 4

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

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

f(x) = x² + 3x - 25,  [-4,8]

• 1.5
• -1

• 2

• -0.5

Tags

CCSS.HSF.IF.B.6

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

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

f(x) = x² + 10x +15,  [-3,4]

• 2
• -2
• 1/2

• 1.5

Tags

CCSS.HSF.IF.B.6

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

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

f(x) = -x² + 4x -12,  [2, 9]

• 7.5

• -5

• 11/2

• 7/2

Tags

CCSS.HSF.IF.B.6

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

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

f(x) = 4x² + 8x -1,  [3, 7]

• -3.5

• 5

• 3/2

• 8

Tags

CCSS.HSF.IF.B.6

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

• -10

• -8

• 8

• 10

• 6

Tags

CCSS.HSF.IF.B.6

• -3

• 3

• 5

• -5

• No x satisfies MVT

Tags

CCSS.HSF.IF.B.6