Exploring Domain and Range from Graphs

This video tutorial introduces the concepts of domain and range in graphs, focusing on how to express them using interval and inequality notation. It explains the significance of infinity in graph axes and provides detailed examples and practice problems to help students understand and apply these concepts effectively.

What is the primary objective of this lesson?

• To solve algebraic equations

• To learn how to find the domain and range from a graph

• To understand how to plot graphs

• To understand the concept of limits

What does the far right-hand side of the x-axis represent?

• Zero

• A specific number

• Negative infinity

• Positive infinity

What are the input values that represent the x-values called?

• Function

• Domain

• Range

• Output

When determining the domain, what should you focus on?

• Both X and Y-axis values

• Z-axis values

• Y-axis values

• X-axis values

In interval notation, how is an open circle represented?

• With a square bracket

• With a curly brace

• With a parenthesis

• With a bracket

What does the arrow sign on a graph indicate?

• The function stops

• The function continues indefinitely

• The function is undefined

• The function changes direction

When listing the range in interval notation, what order should you follow?

• Bottom to top

• Right to left

• Left to right

• Top to bottom

What is the domain of a function that starts at -3 and continues indefinitely to the right?

• (-∞, ∞)

• (-3, ∞)

• [-3, ∞)

• (-∞, -3]

What is the range of a function that starts at -2 and continues indefinitely upwards?

• (-2, ∞)

• [-2, ∞)

• (-∞, -2]

• (-∞, ∞)

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

• x < -3

• x ≤ -3

• x > -3

• x ≥ -3