Math 222 Test 2 Review Questions Continuity and Derivative Rules

Tags

CCSS.HSF.IF.A.2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Label the limit of the difference quotient for f(x) = 2x² + 1

a

b

c

d

e

lim

h

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Label the limit of the difference quotient for f(x) = x³ - 3x

a

b

c

d

e

h

lim

Tags

CCSS.HSA.REI.A.1

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• A

• B

• C

• D

• E

Which of the following statements is true about limits and continuity?

• If a function is continuous at a point, then the limit of the function at that point exists

• If the limit of a function at a point exists, then the function is continuous at that point

• Limits and continuity are unrelated concepts

• None of the above

Which of the following statements is true about differentiability and continuity?

• A function that is continuous must also be differentiable.

• A function that is differentiable must also be continuous.

• A function can be differentiable even if it is not continuous.

• Differentiability and continuity are independent properties.