Exploring Video Functions and the Vertical Line Test

What is a function?

• A relationship where each input has exactly one output

• A relationship where inputs and outputs are the same

• A relationship where each input has multiple outputs

• A relationship where each output has multiple inputs

In the given example, why is the relationship with negative 1 having outputs of 7 and -2 not a function?

• Because it has multiple inputs

• Because it has the same output for different inputs

• Because it has different outputs for the same input

• Because it has no outputs

When looking at a table of values, what indicates that the relationship is not a function?

• Different inputs have the same output

• Same inputs have different outputs

• All inputs are different

• All outputs are the same

What is the easiest way to determine if a mapping represents a function?

• If no output has more than one input

• If no input has more than one output

• If each input has multiple outputs

• If each output has multiple inputs

What does the vertical line test determine?

• If a graph is linear

• If a graph has multiple inputs

• If a graph is a function

• If a graph has multiple outputs

What happens if a vertical line intersects a graph more than once?

• The graph is a function

• The graph is quadratic

• The graph is linear

• The graph is not a function

Why should lines on a graph have arrows at the ends?

• To indicate they are functions

• To show they extend to infinity

• To indicate they are not functions

• To show they are finite

What should you be careful about when drawing vertical lines on graphs?

• Drawing them horizontally

• Drawing them more than once

• Ensuring they intersect the graph more than once

• Ensuring they intersect the graph only once

What is true about any line drawn on a graph?

• It has only one point

• It has no points

• It has an infinite number of points

• It has a finite number of points

What should you remember about the vertical line test?

• It is used to determine if a graph is linear

• It is used to determine if a graph is a function

• It is used to determine if a graph has multiple outputs

• It is used to determine if a graph has multiple inputs