Graph Behavior and Domain Concepts

The video tutorial covers key features of graphs, including domain, range, intercepts, and behavior. It provides definitions and examples of increasing, decreasing, and constant behavior, as well as maxima and minima. The tutorial includes detailed analyses of two graphs and offers practice problems to reinforce learning.

What does the domain of a graph represent?

• The highest point on the graph

• All the X values

• All the Y values

• The lowest point on the graph

Which of the following describes the range of a graph?

• All the Y values

• All the X values

• The points where the graph crosses the Y-axis

• The points where the graph crosses the X-axis

What is an x-intercept?

• The lowest point on the graph

• The highest point on the graph

• A point where the graph crosses the X-axis

• A point where the graph crosses the Y-axis

What is the behavior of a graph called when it is going up from left to right?

• Decreasing behavior

• Constant behavior

• Increasing behavior

• Maxima

What is a constant behavior in a graph?

• A line that goes down

• A vertical line

• A horizontal line

• A line that goes up

What is a maxima in a graph?

• A point where the graph turns from decreasing to increasing

• The lowest point of a graph

• A point where the graph crosses the X-axis

• A point where the graph turns from increasing to decreasing

In a V-shaped graph, what is the domain if the graph stops at x = -3 and x = 3?

• X is less than -3

• X is between -2 and 2

• X is greater than 3

• X is between -3 and 3

For a V-shaped graph, if the range is between y = -4 and y = 2, what does this mean?

• The graph only goes above y = 2

• The graph is constant

• The graph never goes below y = -4 or above y = 2

• The graph only goes below y = -4

In a V-shaped graph, what are the x-intercepts if the graph crosses the x-axis at x = -2 and x = 2?

• (0, -2) and (0, 2)

• (2, 2) and (-2, -2)

• (-2, 2) and (2, -2)

• (-2, 0) and (2, 0)

What is the y-intercept of a V-shaped graph if it crosses the y-axis at y = -4?

• (0, -4)

• (-4, 0)

• (0, 4)

• (4, 0)