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Stewart_Essential Calc_2ET ch01sec05

MULTIPLE CHOICE

1. Choose an equation from the following that expresses the fact that a function f is continuous at the number .

a.

b.

c.

d.

e.

ANS: A PTS: 1 DIF: Medium REF: 1.5.1

MSC: Bimodal NOT: Section 1.5

2. If f and g are continuous functions with

a.

b.

c.

d.

e.

ANS: E PTS: 1 DIF: Medium REF: 1.5.11

MSC: Bimodal NOT: Section 1.5

3. Use continuity to evaluate the limit.

a.

b. 0

c. 1

d.

e.

ANS: B PTS: 1 DIF: Medium REF: 1.5.28

MSC: Bimodal NOT: Section 1.5

4. Determine where f is discontinuous.

a. only

b.

c. only

d.

e. 0 only

ANS: D PTS: 1 DIF: Medium REF: 1.5.31

MSC: Bimodal NOT: Section 1.5

5. For what value of the constant c is the function f continuous on

a.

b.

c.

d.

e.

ANS: C PTS: 1 DIF: Medium REF: 1.5.33

MSC: Bimodal NOT: Section 1.5

NUMERIC RESPONSE

1. For determine whether f is continuous from the right, from the left, or neither.

ANS: neither

PTS: 1 DIF: Medium REF: 1.5.3b

MSC: Numerical Response NOT: Section 1.5

2. Determine where f is discontinuous.

ANS:

PTS: 1 DIF: Medium REF: 1.5.16

MSC: Numerical Response NOT: Section 1.5

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