Graphing Functions and Their Features

This video tutorial covers key vocabulary related to graph features, including intercepts, end behavior, and increasing and decreasing intervals. It explains how to identify x and y intercepts on graphs and tables, describes the end behavior of graphs as x approaches positive or negative infinity, and shows how to determine intervals where graphs are increasing or decreasing.

Which of the following is NOT a key feature of graphs discussed in the video?

• End behavior

• Intercepts

• Increasing and decreasing intervals

• Vertex

Where does a graph cross the x-axis?

• At the y-intercept

• At the vertex

• At the x-intercept

• At the origin

What is the x-intercept of a graph?

• The lowest point on the graph

• The highest point on the graph

• The point where the graph crosses the x-axis

• The point where the graph crosses the y-axis

Which line represents the y-axis in the video?

• Green line

• Yellow line

• Blue line

• Red line

What is the y-intercept of the graph in the example?

• (0, 0)

• (-6, 0)

• (0, -6)

• (2, 0)

What is the x-intercept of the graph in the example?

• (-3, -6) and (2, -6)

• (-3, 0) and (2, 0)

• (0, -3) and (0, 2)

• (0, 0) and (0, 2)

How can you identify the x-intercepts on a table?

• When the x values are zero

• When the y values are zero

• When both x and y values are zero

• When the x values are positive

What is the significance of the point where x equals zero on a graph?

• It is the y-intercept

• It is the x-intercept

• It is the origin

• It is the vertex

What does end behavior describe?

• The symmetry of the graph

• The intercepts of the graph

• The direction of the graph as x approaches infinity

• The slope of the graph

What does the arrow symbol represent in the context of end behavior?

• Approaches

• Is less than

• Equals

• Is greater than