3.3 Mean Value Theorem

Can the MVT be applied to the function on the interval?

f(x) = (-x² + 9)/(4x) on [1,3]

• Yes

• No

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

The value of c guaranteed to exist by the MVT for  $f\left(x\right)=x^2$  on the interval [0,3] is:

• 1

• 2

• 3/2

• 1/2

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

 $f\left(x\right)=x^3+2x,\ \ \ \left[-1,1\right]$  


Find the value of c guaranteed by the Mean Value Theorem.

• 1/√3

• -1/√3

• ±1/√3

• The MVT doesn't apply

Tags

CCSS.HSF.IF.B.6

 $f\left(x\right)=\left(x+3\right)\left(x-1\right)^2,\ \ \ \ \left[-3,1\right]$  

Find the value of c which is guaranteed by Rolle's Theorem.

• -1

• 5/3

• 3/5

• Rolle's Theorem doesn't apply

Tags

CCSS.HSA.APR.B.3

For what value of c is the Rolle's thm applicable on the given function f(x) = x²-5x+4 [1,4]

• c = 7/2

• c = 5/2

• c = 3/2

• c = 9/2

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

Does the mean value theorem apply to f on [0, 5] ?

• yes

• no

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

CCSS.8.F.B.4

Read the question carefully then choose the best answer

• A

• B

• C

• D

Tags

CCSS.HSA.REI.B.4

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11