Exploring Increasing, Decreasing, and Constant Intervals

The video tutorial explains how to identify increasing, decreasing, and constant intervals on a graph. It begins with an introduction to these concepts, followed by detailed instructions on how to recognize each type of interval. The tutorial includes example problems to reinforce the learning, demonstrating how to apply the concepts to different graphs. The focus is on understanding the behavior of graphs as they rise, fall, or remain constant, and how to express these intervals using proper notation.

What is the main characteristic of an increasing interval on a graph?

• The graph remains horizontal.

• The graph forms a loop.

• The graph rises from left to right.

• The graph falls from left to right.

How do you identify an increasing interval on a graph?

• Look for where the graph is rising from left to right.

• Look for where the graph forms a loop.

• Look for where the graph is falling from left to right.

• Look for where the graph is horizontal.

What is the interval notation for a graph that is increasing from negative infinity to -2?

• [-∞, -2)

• (-∞, -2]

• (-∞, -2)

• [-∞, -2]

What is the main characteristic of a decreasing interval on a graph?

• The graph forms a loop.

• The graph remains horizontal.

• The graph falls from left to right.

• The graph rises from left to right.

How do you identify a decreasing interval on a graph?

• Look for where the graph forms a loop.

• Look for where the graph is falling from left to right.

• Look for where the graph is rising from left to right.

• Look for where the graph is horizontal.

What is the interval notation for a graph that is decreasing from 3 to 8?

• (3, 8]

• [3, 8)

• [3, 8]

• (3, 8)

What is the main characteristic of a constant interval on a graph?

• The graph rises from left to right.

• The graph falls from left to right.

• The graph forms a loop.

• The graph remains horizontal.

How do you identify a constant interval on a graph?

• Look for where the graph is rising from left to right.

• Look for where the graph forms a loop.

• Look for where the graph is falling from left to right.

• Look for where the graph is horizontal.

In the example where the graph is constant from -3 to 2, what is the interval notation?

• [3, 2)

• [-3, 2]

• (-3, 2]

• (-3, 2)

If a graph is decreasing from -∞ to 4, what is the interval notation?

• [-∞, 4)

• (-∞, 4]

• (-∞, 4)

• [-∞, 4]