Review 2 Curve Sketching" Mean Value Theo, Increasing, Decreasin

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.8.F.B.4

CCSS.HSF.IF.B.6

• -4

• -1/4

• 3

• -2

Tags

CCSS.HSF-LE.A.1B

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

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

• -10

• -8

• 8

• 10

• 6

• -2

• 2

• 4

• -4

• No x satisfies MVT

Does mean value theorem apply for f over [-1,2]

• YES
• NO

Does mean value theorem apply for f over [-2,3]

• YES
• NO

Does mean value theorem apply for f over [-5,-4]

• YES
• NO