Exploring Domain and Range from Graphs

The video tutorial covers domain and range concepts, focusing on interval and inequality notation. It includes a review of previous lessons, conversion between notations, and practical examples using graphs. The tutorial also introduces new concepts and provides examples to reinforce understanding. The instructor emphasizes the importance of consistent review to retain knowledge.

What does the union symbol in interval notation translate to in inequality notation?

• And

• Or

• Not

• Equal

In interval notation, what does the interval (5, ∞) represent in inequality notation?

• x < 5

• x ≤ 5

• x > 5

• x ≥ 5

When converting from inequality to interval notation, what does the 'or' in inequality notation become?

• Union

• Intersection

• Difference

• Complement

What is the domain of a function that starts at x = 0 and ends at x = 4?

• [0, 4]

• [0, 4)

• (0, 4)

• (0, 4]

If a function's range is from y = -6 to y = 0, how is this represented in interval notation?

• [-6, 0)

• (-6, 0)

• [-6, 0]

• (-6, 0]

What is the correct interval notation for a domain that starts at negative infinity and goes to -2, then from 3 to positive infinity?

• (-∞, -2) ∪ (3, ∞)

• (-∞, -2] ∪ [3, ∞)

• (-∞, -2] ∪ (3, ∞)

• (-∞, -2) ∪ [3, ∞)

In inequality notation, how would you represent all x values less than -2 or greater than 3?

• x < -2 and x > 3

• x ≤ -2 or x ≥ 3

• x < -2 or x > 3

• x ≤ -2 and x ≥ 3

What is the range of a function that starts at y = 0 and extends to positive infinity?

• [0, ∞)

• (0, ∞)

• [0, ∞]

• (0, ∞]

If a function exists from x = -∞ to x = 0.784 and from x = 5.239 to x = ∞, how is this written in interval notation?

• (-∞, 0.784) ∪ (5.239, ∞)

• (-∞, 0.784] ∪ [5.239, ∞)

• (-∞, 0.784) ∪ [5.239, ∞)

• (-∞, 0.784] ∪ (5.239, ∞)

How would you represent the range of a function that extends from negative infinity to y = 0 in interval notation?

• (-∞, 0)

• (-∞, 0]

• [-∞, 0]

• [-∞, 0)