Piecewise Functions with Domain and Range

Name the discontinuity at x=2. 

• Infinite Discontinuity

• Removable Discontinuity

• Jump Discontinuity

• Continuous at x=2

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

• Continuous

• Removable Point Discontinuity

• Non-removable Infinite Discontinuity

• Non-removable Jump Discontinuity

What is the DOMAIN of the function?

• (-∞, +∞)

• (-∞, -3) U (-3, +∞)

• (-∞, 2] U [3, +∞)

• (-∞, 3] U [3, +∞)

What is the range?

• (-∞,∞)

• (-1,∞)

• [-1,∞)

• (-1,1]

What is the proper range?

• x≥0

• y≥0

• All real numbers

• {0, 1, 2, 3, 4,...}

What are the domain restrictions for the green piece of this function?

• -2 < x ≤ 1

• -1 < x ≤ 0.5

• x > -2

• x ≤ 1

What is the domain restriction of the blue piece of this function?

• x > 0

• x ≥ 0

• x > 2

• x ≥ 2

Find f(0)

• -3

• 18

• 4

• 0

What is f when x equals 0?

• -5

• 0

• 1/2

• 1

What is f when x equals 4?

• -5

• 0

• 3

• 6