Exploring the Boyer Domain and Range

The video tutorial explains how to find the domain and range of a graph. It covers the concepts of domain and range, focusing on x and y values, respectively. The tutorial introduces interval notation, explaining the use of brackets and parentheses, and how to handle infinity. It provides step-by-step guidance on determining domain and range for both bounded and unbounded graphs, using examples to illustrate the process.

What does the domain of a graph represent?

• The lowest point

• All Y values

• All X values

• The highest point

In interval notation, what does a bracket [ ] signify?

• The number is not included

• The number is included

• The graph is continuous

• The graph is discrete

How do you represent an interval that includes 5 but not 7?

• [5, 7]

• (5, 7]

• (5, 7)

• [5, 7)

What is the minimum X value if the graph starts at -3?

• -3

• 0

• -6

• 3

If a graph has a maximum Y value of 4, what is the range?

• (-∞, 4)

• [4, ∞]

• [4, ∞)

• (-∞, 4]

What is the domain of a graph that extends infinitely in both directions?

• (-∞, ∞)

• [0, ∞)

• (-∞, 0]

• [0, 1]

How do you represent a range that starts at -4 and extends to infinity?

• [-4, ∞)

• (-∞, ∞)

• (-∞, -4]

• (-4, ∞)

What is the domain of the function f(x) = x^2 - 2x - 3?

• (-∞, ∞)

• (-∞, 0]

• [0, 1]

• [0, ∞)

For the function g(x) = ∛(x - 5), what is the range?

• [0, 1]

• (-∞, 0]

• [0, ∞)

• (-∞, ∞)

If a graph has arrows at both ends, what does it indicate about the domain?

• It is undefined

• It is finite

• It is infinite

• It has a beginning and an end