MVT Quiz

• 1

• 2

• 3/2

• 1/2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• 1/√3

• -1/√3

• ±1/√3

• The MVT doesn't apply

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Pick the function which is discontinuous in the given interval.

• y= tan(x) [-π/3, π/3]

• y = sin(x) [-π,2π]

• y= log(x) [-1,1]

• y = 1/x [4,7]

Tags

CCSS.HSF-IF.C.7B

• C = can't be located

• c is not defined

• MVT not applicable

• c = 6

• c =7

• c = 5

• c = 3

Which of the following is a correct implication of the Extreme Value Theorem?

• A discontinuous function on a closed interval has both a maximum and a minimum value within that interval.
• A continuous function on an open interval has both a maximum and a minimum value within that interval.
• A continuous function on a closed interval has only a maximum value within that interval.
• A continuous function on a closed interval has both a maximum and a minimum value within that interval.

Find all c values that satisfy the Mean Value Theorem for f(x)=x+3cos(x) on [-π,π]

• c=-π

• c=π

• MVT does not apply

• c=0

Find all c values for which the MVT works for f(x)=x²(x-1) on [0,3]

• c=-1.120

• c=1.786

• MVT does not apply

• c=1.786 and -1.120