Understanding Functions and the Vertical Line Test

What is a function in mathematical terms?

• A relationship where each input has multiple outputs

• A relationship where each input has a single output

• A relationship where outputs are not related to inputs

• A relationship where inputs are always greater than outputs

Which test is used to determine if a graph represents a function?

• Diagonal Line Test

• Parallel Line Test

• Horizontal Line Test

• Vertical Line Test

In a function, what should you check to ensure it is valid?

• None of the above

• Both x and y values

• Repeating x-values

• Repeating y-values

What does it mean if a vertical line intersects a graph more than once?

• The graph is a linear function

• The graph is a quadratic function

• The graph is a function

• The graph is not a function

What is indicated by two closed points on top of each other in a graph?

• The graph passes the vertical line test

• The graph is a quadratic function

• The graph fails the vertical line test

• The graph is a linear function

What is the significance of an open circle in a graph?

• The point is included

• The point is not included

• The graph is not a function

• The graph is a function

How can you determine if a mapping represents a function?

• Each input has a single output

• Each output has multiple inputs

• Each input has multiple outputs

• Each output has a single input

What happens if an input in a mapping has more than one output?

• It is still a function

• It is not a function

• It is a quadratic function

• It is a linear function

What does a horizontal line on a graph indicate in terms of the vertical line test?

• It is a quadratic function

• It passes the vertical line test

• It is a cubic function

• It fails the vertical line test

What does a vertical line on a graph indicate about the function?

• It fails the vertical line test

• It is a quadratic function

• It passes the vertical line test

• It is a linear function