Mean Value Theorem Practice 1 (updated 2024)

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.8.F.B.4

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 that satisfies the mean value theorem.

• 2.5

• 4

• 3.5

• -2

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

f(x) = x² - 3x - 28,  [-4,7]

• 1.5
• -1.5
• 0.5
• -0.5

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

f(x) = x² +5x +5,  [-2,6]

• 2
• -2
• 5

• 3.5

Tags

CCSS.HSF-LE.A.1C

Find the value of x that satisfies the mean value theorem. over the indicated interval? f(x) = 12√(x),  [1,16]

• 2.5
• 6.25
• 14.4
• 6

Read the question carefully then choose the best answer

• A

• B

• C

• D

Read the question carefully then choose the best answer

• A

• B

• C

• D

Read the question carefully then choose the best answer

• A

• B

• C

• D

• x=8 satisfies MVT

• x=12 satisfies MVT

• x=10 satisfies MVT

• x=6 satisfies MVT

• x=9.25 satisfies MVT

• x=-√3 satisfies MVT

• x=√3 satisfies MVT

• x=-3 satisfies MVT

• x=3 satisfies MVT

• x=±√3 satisfies MVT