Understanding the Vertical Line Test

The video tutorial explains the vertical line test, a method to determine if a graph represents a function. A function is defined as having one output for each input. The tutorial demonstrates the test by drawing vertical lines on graphs to see if they intersect the graph at more than one point. If a vertical line touches the graph more than once, it is not a function. The video also covers examples with graphs and points, emphasizing that if any part of the graph fails the test, it is not a function.

What is the primary purpose of the vertical line test?

• To check if a graph is a function

• To determine if a graph is a line

• To find the slope of a graph

• To measure the height of a graph

In a function, what is the relationship between inputs and outputs?

• One input can have multiple outputs

• Multiple inputs can have one output

• One input has exactly one output

• Inputs and outputs are unrelated

What does it mean if a vertical line touches a graph at more than one point?

• The graph is a straight line

• The graph is not a function

• The graph is a function

• The graph is a circle

How can you confirm a graph is a function using the vertical line test?

• The line touches the graph at multiple points

• The line does not touch the graph

• The line touches the graph at exactly one point

• The line intersects the graph at two points

What happens when a vertical line touches a graph at three points?

• The graph is a parabola

• The graph is not a function

• The graph is a function

• The graph is a straight line

Why is a graph with multiple vertical line intersections not a function?

• It is a circle

• It is a straight line

• It has multiple outputs for a single input

• It has a single output for multiple inputs

How does the vertical line test apply to graphs with discrete points?

• It can determine if the set of points is a function

• It only applies to graphs with lines

• It is not applicable to discrete points

• It only applies to continuous graphs

What indicates a non-function in a graph of discrete points?

• A vertical line touches the graph at the origin

• A vertical line touches exactly one point

• A vertical line touches no points

• A vertical line touches multiple points

If a vertical line test fails at one section of a graph, what can be concluded?

• The graph is a straight line

• Only that section is not a function

• The entire graph is a function

• The entire graph is not a function

What is the result of a vertical line test on a graph comparing student names and heights?

• It is always a function

• It is never a function

• It depends on the specific points

• It is a function if all points are unique