Domain, Range, and Continuity

Find the domain of f(x):

• (-∞, +∞)
• (-∞, 1) U (1, ∞)
• (-∞, -1) U (1, ∞)
• (1, ∞)

Find the domain of h(x):

• (-∞, +∞)
• (-∞, -2) U (-2, ∞)
• (2, ∞)
• [-2, ∞)

Find the domain of j(x):

• (-∞, ∞)
• (-∞, -2] U [2, ∞)
• [-2, 2]
• (-∞, 2]

What is the range of the graph?

• y≥1
• x≥1
• All real numbers
• none of these

What is the proper domain?

• x≥0
• y≥0
• All real numbers
• {0, 1, 2, 3, 4,...}

What is the proper range?

• x≥0
• y≥0
• All real numbers
• {0, 1, 2, 3, 4,...}

What is the domain of the graph?

• -7 ≤ x < 5
• -3 ≤ x < 1
• -3 ≤ y < 1
• -7 ≤ y < 5

Which graph is not a function?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Find the domain.

• all real numbers except 0

• (- ∞, 4) ∪ (4, ∞)

• (4, ∞)

• (0, ∞)

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

• Continuous
• Removable Point Discontinuity
• Non-removable Infinite Discontinuity
• Non-removable Jump Discontinuity