Mastering the Vertical Line Test for Functions

The video tutorial explains the vertical line test, a method to determine if a graph represents a function. It describes the necessary tools and steps to perform the test, such as using a ruler or pencil to check if a vertical line touches the graph more than once. The video provides examples of graphs that pass or fail the test, including lines, curves, and points. An interactive exercise encourages viewers to apply the test themselves. The tutorial concludes by reinforcing the concept that a graph is a function if a vertical line touches it only once at any point.

What is the purpose of the vertical line test?

• To find the slope of a line

• To determine the y-intercept

• To check if a graph is a function

• To calculate the area under a curve

What do you need to perform a vertical line test?

• A graph or relation plotted on a coordinate plane

• A table of values

• A list of points

• A set of equations

Which of the following is NOT required to perform a vertical line test?

• A straight edge object

• A calculator

• A coordinate plane

• A graph

If a vertical line touches a graph at more than one point, what can be concluded?

• The graph is a function

• The graph is not a function

• The graph is linear

• The graph is quadratic

In the demonstration, what tool was used to check the first relation?

• A calculator

• A pencil

• A ruler

• A sheet of paper

What was the result of the vertical line test on the sideways curve?

• It was not tested

• It was inconclusive

• It failed the test

• It passed the test

How many times did the vertical line touch the graph in the first example?

• Four times

• Twice

• Three times

• Once

What does it mean if a vertical line touches a graph only once at every point?

• The graph is a curve

• The graph is a line

• The graph is not a function

• The graph is a function

In the interactive exercise, what was the result of the vertical line test?

• The graph passed the test

• The graph failed the test

• The graph was not tested

• The result was inconclusive

What should you do after determining if the graph in the interactive exercise is a function?

• Restart the video

• Pause the video

• Skip the video

• Rewind the video