Graph Behavior and Intercepts

The video tutorial covers key features of graphs, including x and y intercepts, positivity and negativity, increasing and decreasing behavior, and end behavior. It provides examples to illustrate these concepts and explains how to analyze graphs to identify these features.

What is the x-intercept of a graph?

• The point where the graph crosses the y-axis

• The point where the graph crosses the x-axis

• The highest point on the graph

• The lowest point on the graph

How can you determine the y-intercept of a graph?

• By identifying the lowest point on the graph

• By finding where the graph crosses the x-axis

• By finding where the graph crosses the y-axis

• By identifying the highest point on the graph

When is a graph considered positive?

• When the graph is below the x-axis

• When the slope is negative

• When the x-values are above zero

• When the y-values are above zero

What does it mean for a graph to be increasing?

• The graph is moving upwards

• The graph is moving sideways

• The graph is moving downwards

• The graph is constant

In the example of a line, what are the x and y intercepts if both are at 2?

• (2, 0) and (0, 2)

• (0, 2) and (2, 2)

• (2, 2) and (2, 0)

• (0, 0) and (2, 2)

For a parabola with an x-intercept at -2 and a y-intercept at 4, when is the graph positive?

• From -2 to infinity

• From -2 to 4

• From negative infinity to -2 and from -2 to infinity

• From 0 to 4

What is the end behavior of a graph as x approaches positive infinity?

• The graph stays constant

• The graph oscillates

• The graph goes up

• The graph goes down

How do you determine the end behavior of a graph?

• By finding the x-intercept

• By observing the direction of the graph as x approaches infinity

• By analyzing the slope

• By looking at the y-intercept

What happens to the graph on the right side if it is going down?

• It oscillates

• It stays constant

• It approaches negative infinity

• It approaches positive infinity

If a graph is a flat line, what is its end behavior?

• It remains at a constant value

• It approaches negative infinity

• It oscillates

• It approaches positive infinity