Is the piecewise function continuous

The video tutorial explains the concept of disjunction in graphs, focusing on potential discontinuities at X=0 and X=1. It discusses how to determine continuity by comparing left and right hand limits at these points. The tutorial further explores the concept of jump discontinuities, providing examples and explanations to help understand when a function is continuous or not.

What are the two points mentioned where the graph could potentially be discontinuous?

• X = 0 and X = 1

• X = 1 and X = 2

• X = 2 and X = 3

• X = -1 and X = 2

What must be true for a function to be continuous at a point?

• The left-hand limit must be greater than the right-hand limit.

• The left-hand limit must be less than the right-hand limit.

• The left-hand limit must equal the right-hand limit.

• The left-hand limit must not exist.

Which function is used to check the left-hand limit at X = 0?

• X + 1

• X - 1

• X^2

• X^3

What type of discontinuity is identified in the final section?

• Removable discontinuity

• Infinite discontinuity

• Jump discontinuity

• Oscillating discontinuity

At which point is the jump discontinuity observed?

• X = 2

• X = 0

• X = 1

• X = -1