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Lesson: Continuity

Question Video: Finding the Values of the Variables Which Make a Piecewise-Defined Function Continuous at a Certain Point

03:59

Worksheet: Continuity • 16 Questions

Q1:

Find and , where

  • A
  • B
  • C
  • D

Q2:

Let Find the value of that makes continuous at .

  • A
  • B
  • C
  • D
  • E

Q3:

Let Find the value of that makes continuous at .

  • A
  • B
  • C
  • D
  • E

Q4:

Let Find the value of that makes continuous at .

  • A
  • B
  • C
  • D
  • E

Q5:

Let Find the value of that makes continuous at .

  • A
  • B
  • C
  • D7
  • E

Q6:

Let What can be said of the continuity of at ?

  • A The function is continuous at .
  • B The function is discontinuous at because is undefined.
  • C The function is discontinuous at because .
  • D The function is discontinuous at because does not exist.

Q7:

Let What can be said of the continuity of at ?

  • A The function is continuous at .
  • B The function is discontinuous at because is undefined.
  • C The function is discontinuous at because .
  • D The function is discontinuous at because does not exist.

Q8:

Let What can be said of the continuity of at ?

  • A The function is continuous at .
  • B The function is discontinuous at because is undefined.
  • C The function is discontinuous at because .
  • D The function is discontinuous at because does not exist.

Q9:

Discuss the continuity of the function at , given that

  • A The function is continuous at .
  • B The function is continuous at all points in .
  • C The function is discontinuous at because does not exist.
  • D The function is discontinuous at because .
  • E The function is discontinuous at because is undefined.

Q10:

Find the values of which make the function continuous at if

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q11:

Discuss the continuity of the function on its domain, given that

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

Q12:

Suppose What is if is continuous on its domain?

Q13:

Determine the value of that makes the function continuous at .

  • A
  • B
  • C
  • D
  • E

Q14:

Determine the values of and that make the function continuous at , given that

  • A ,
  • B ,
  • C ,
  • D ,
  • E ,

Q15:

The function is given by Determine and so that is continuous everywhere.

  • A ,
  • B ,
  • C ,
  • D ,

Q16:

Suppose and What can be said of the continuity of at ?

  • AThe function is discontinuous at because .
  • BThe function is continuous at .
  • CThe function is discontinuous at because is undefined.
  • DThe function is discontinuous at because does not exist.
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