Functions and Continuity

Is f(x) continuous at x = a, and why?

Is the function continuous at x = 2, and why?

Is the function continuous at x=0?

At what x-value does this function have an infinite discontinuity?

At what x-value is there a removable discontinuity in this function?

• Continuous

• Removable Discontinuity

• Jump Discontinuity

• Infinite Discontinuity

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

• Continuous

• Removable Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

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

• Continuous

• Removable Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

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

• Continuous

• Removable Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

At x=a there is a _________ discontinuity.