Functions and Continuity

Name the location of a jump discontinuity for the function f (x). Enter it in the form x = number.

How many jump discontinuities does the function have?

This piecewise function is:

• Continuous

• Discontinuous

• Neither continuous nor discontinuous

• Both continuous and discontinuous

The function is:

• Continuous

• Discontinuous

• Neither continuous nor discontinuous

• Both continuous and discontinuous

• a

• b

• c

• d

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

• Continuous

• Removable Point Discontinuity

• Non-removable Infinite Discontinuity

• Non-removable Jump Discontinuity

Find where the function is continuous

• (-∞,-1)(-1,3)(3,∞)

• (-∞,∞)

• (-∞,-3)(-3,1)(1,∞)

• (-∞,-2)(-2,3)(3,∞)

Which of the following best describes the continuity at x = 5?

• Continuous

• Removable Point Discontinuity

• Non-removable Infinite Discontinuity

• Non-removable Jump Discontinuity

In what interval does the following function is continuous?

• (-∞,-2)u(-2,∞)

• [-2,2]

• (-2,2)

• (-∞,-2]u[-2,∞)

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

• Continuous

• Removable Point Discontinuity

• Non-removable Infinite Discontinuity

• Non-removable Jump Discontinuity