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Worksheet: Continuity Over an Interval

Q1:

Discuss the continuity of the function .

  • A is continuous on because it is a constant function.
  • B is continuous on .

Q2:

What can be said about the continuity of the function ?

  • A is continuous on because it is a polynomial.
  • B is discontinuous on because it is a polynomial.

Q3:

Discuss the continuity of the function given .

  • A The function is continuous on .
  • B The function is continuous on .

Q4:

Find the set on which is continuous.

  • A is continuous on .
  • B is continuous on .
  • C is continuous on .
  • D is continuous on .

Q5:

Find the set on which is continuous.

  • A
  • B
  • C
  • D

Q6:

Find the set on which is continuous.

  • A is continuous on .
  • B is continuous on .
  • C is continuous on .
  • D is continuous on .
  • E is continuous on .

Q7:

What can be said about the continuity of the function ?

  • A is continuous on because is continuous on
  • B is continuous on because is a polynomial.
  • C is continuous on because is a polynomial, and is continuous on .

Q8:

Find the set on which is continuous.

  • A is continuous on because is a polynomial.
  • B is continuous on .
  • C is continuous on because is continuous on .
  • D is continuous on because is a polynomial, and is continuous on .

Q9:

Find the set on which is continuous.

  • A is continuous on .
  • B is continuous on .
  • C is continuous on .
  • D is continuous on .

Q10:

Find the set on which is continuous.

  • AThe function is continuous on .
  • BThe function is continuous on .
  • CThe function is continuous on .
  • DThe function is continuous on .
  • EThe function is continuous on because and are continuous on .

Q11:

Find the set on which is continuous.

  • AThe function is continuous on .
  • BThe function is continuous on .
  • CThe function is continuous on .
  • DThe function is continuous on .
  • EThe function is continuous on .

Q12:

Find the set on which is continuous.

  • A
  • B
  • C
  • D

Q13:

Discuss the continuity of the function on .

  • A is discontinuous on .
  • B is continuous on .
  • C is continuous on .
  • D is continuous on .

Q14:

Find the set on which is continuous.

  • A is continuous on
  • B is continuous on
  • C is continuous on
  • D is continuous on
  • E is continuous on

Q15:

Find the set on which is continuous.

  • A is continuous on .
  • B is continuous on .
  • C is continuous on .
  • D is continuous on .

Q16:

Find the set on which is continuous.

  • A is continuous on .
  • B is continuous on .
  • C is continuous on .
  • D is continuous on .

Q17:

Discuss the continuity of the function , given

  • A The function is continuous on .
  • B The function is continuous on .
  • C The function is continuous on .
  • D The function is continuous on .
  • E The function is continuous on .

Q18:

Discuss the continuity of the function , given

  • A The function is continuous on .
  • B The function is continuous on .
  • C The function is continuous on .
  • D The function is continuous on .
  • E The function is continuous on .

Q19:

Discuss the continuity if the function given

  • A is continuous on .
  • B is continuous on .
  • C is continuous on .
  • D is continuous on .

Q20:

If what can be said of the continuity of on the interval ?

  • A is continuous on .
  • B is continuous on .
  • C is continuous on .
  • D is continuous on .

Q21:

If what can be said of the continuity of on the interval ?

  • A is continuous on .
  • B is continuous on .
  • C