Continuity Quiz

Name the discontinuity at x=2. 

• Infinite Discontinuity

  (non-removable)

• Removable Discontinuity
• Jump Discontinuity

  (non-removable)

• Continuous at x=2

Name the discontinuity at x=2. 

• Infinite Discontinuity

  (non-removable)

• Removable Discontinuity
• Jump Discontinuity

  (non-removable)

• Continuous at x=2

Which of the following best describes the continuity at x = 1?

• Continuous

• Removable Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

• TRUE

• FALSE

• f(x) is continuous

Identify the x-values of any discontinuities for the function above.

• 3

• -3

• 6

• -6

• This function is continuous for all values of x.

Find the value for c that will make the following piecewise function continuous.

• -3

• -2

• -1

• c=0

Which of the following best describes the continuity at x = 0?

• Continuous
• Removable Point Discontinuity
• Non-removable Infinite Discontinuity
• Non-removable Jump Discontinuity

Which of the following must be true for a function to be continuous at a point, a? (select all that apply)

• f(a) must exist

• the limit as x approaches a must exist

• the function has to go to infinity

• f(a) and the limit as x approaches a must be equal

• you won't need to do any factoring/simplifying when finding the limit

Let f be a continuous function for which f(-2)=1 and f(5)=-3. The Intermediate Value Theorem guarantees that

• f(c)=2 for at least one c between -3 and 1

• f(c)=0 for at least one c between -2 and 5

• f(c)=0 for at least one c between -3 and 1

• f(c)=2 for at least one c between -2 and 5