Limits and Continuity

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

• 3

• -3

• 6

• -6

Does the following function is continuous at x=0?

• Continuous

• Discontinuous

What is the limits of the function when x approching a?

• Undefined

• 2

• Does not exist

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

• Continuous

• Removable Point Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

Which of the following best describes the continuity at x = 3?

• Continuous

• Removable Point Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

Which of the following best describes the continuity at x = -4?

• Continuous

• Removable Point Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

Let f be a function that is continuous on the interval (1, 10). If f(2) = -5 , f(5) = 5 and f(9) = -5, which must be true?

I.  f(x) has a least 2 zeros
II.  For some c, 2 < c < 9, f(c) = 3  
III.  The graph of f(x) has a horizontal tangent

• I. only
• I. and II.
• I. , II. and III.
• II. and III.

• Does Not Exist
• 9
• 1
• 0

• continuous

• discontinuous, essential

• discontinuous, removable

• discontinuous, jump

• 0

• DNE

• 1/2

• 2