[Classwork] Piecewise Continuity

in what value of x does the following function is discontinuous?

• 3

• -3

• 6

• -6

One of the conditions a function must satisfy to be continuous at a number is "f(c) must exist"

• TRUE

• FALSE

One of the conditions a function must satisfy to be continuous at a number is "the value of the limit of f(x) is DNE"

• TRUE

• FALSE

Which is NOT continuous?

• 
• 
• 
• 

At which x-value is there a jump discontinuity?

Which of the following best describes the continuity at x = 2?

• Jump Discontinuity

• Removable Discontinuity

• Continuous

• Infinite Discontinuity

What is the horizontal asymptote?

• y = -4
• y = 1
• x = 1
• y = -6

What is the limit as x approaches 3 from the left?

• negative infinity
• infinity
• 3
• 1

• A hole occurs where x=3

• vertical asymptote at x=3

• vertical asymptote at x=5

• A hole occurs where x=5

• continuous

• discontinuous, essential

• discontinuous, removable

• discontinuous, jump