Understanding Domain and Range in Graphs

The video tutorial explains how to determine the domain and range of functions using interval notation. It analyzes two graphs: the first graph of y = 1/x with vertical and horizontal asymptotes at x = 0 and y = 0, respectively, and the second graph with asymptotes at x = -2 and y = -3. The tutorial demonstrates how to express the domain and range using interval notation by analyzing the graphs both horizontally and vertically.

What is the vertical asymptote of the graph y = 1/x?

• x = 1

• x = 0

• y = 1

• y = 0

How is the domain of y = 1/x expressed in interval notation?

• (-∞, 0]

• (-∞, ∞)

• (-∞, 0) ∪ (0, ∞)

• [0, ∞)

What is the horizontal asymptote of the graph y = 1/x?

• y = 1

• x = 1

• y = 0

• x = 0

What is the range of y = 1/x in interval notation?

• (-∞, 0) ∪ (0, ∞)

• (-∞, ∞)

• [0, ∞)

• (-∞, 0]

Where is the vertical asymptote located in the second graph?

• x = -2

• y = 0

• y = -3

• x = 0

What is the horizontal asymptote of the second graph?

• y = 0

• x = 0

• x = -2

• y = -3

How is the domain of the second graph expressed in interval notation?

• (-∞, -2]

• (-∞, ∞)

• (-∞, -2) ∪ (-2, ∞)

• [-2, ∞)

Which of the following is true about the domain of the second graph?

• It includes y = -3

• It excludes y = -3

• It excludes x = -2

• It includes x = -2

What is the range of the second graph in interval notation?

• (-∞, ∞)

• [-3, ∞)

• (-∞, -3) ∪ (-3, ∞)

• (-∞, -3]

What is the break in the range of the second graph?

• x = 0

• y = 0

• x = -2

• y = -3