Vertical Line Test and Functions

The video tutorial explains linear functions, emphasizing that a graph must be both linear and a function to qualify as a linear function. It introduces the vertical line test as a method to determine if a graph is a function. Various examples are provided to illustrate linear and non-linear functions, including parabolas. The tutorial concludes with a summary of key points and encourages viewers to like and subscribe.

What are the two criteria for a graph to be considered a linear function?

• It must be a straight line and pass the diagonal line test.

• It must be a curve and a function.

• It must be a straight line and a function.

• It must be a straight line and pass the horizontal line test.

How can you determine if a graph is linear?

• If it forms a curve.

• If it forms a circle.

• If it forms a straight line.

• If it forms a zigzag pattern.

What is the key characteristic of a linear graph?

• It forms a circle.

• It forms a curve.

• It forms a straight line.

• It forms a zigzag pattern.

What is the definition of a function in terms of inputs and outputs?

• For every output, there is only one input.

• For every output, there can be multiple inputs.

• For every input, there is only one output.

• For every input, there can be multiple outputs.

What is the relationship between inputs and outputs in a function?

• Multiple outputs can have the same input.

• Each output has a unique input.

• Each input has a unique output.

• Multiple inputs can have the same output.

Why is the graph made up of line segments not considered linear?

• Because it forms a straight line.

• Because it passes the vertical line test.

• Because it zigzags and is not a single line.

• Because it is a function.

What is the vertical line test used for?

• To determine if a graph is a zigzag.

• To determine if a graph is a straight line.

• To determine if a graph is a function.

• To determine if a graph is a circle.

What happens when a vertical line touches a graph in multiple places?

• The graph is a circle.

• The graph is linear.

• The graph is not a function.

• The graph is a function.

What is the significance of the vertical line test in determining a function?

• It helps determine if a graph is a function.

• It helps determine if a graph is a straight line.

• It helps identify if a graph is a circle.

• It helps identify if a graph is a zigzag.

What is the outcome if a graph fails the vertical line test?

• The graph is a circle.

• The graph is linear.

• The graph is not a function.

• The graph is a function.