Mastering the Vertical Line Test for Functions

What does the vertical line test help determine?

• If a graph is symmetrical

• If a relation is a function

• If a graph has a maximum point

• If a graph is linear

Why is it important that a vertical line only touches one point on the graph?

• Because it means the x-values are unique

• Because it shows the graph is decreasing

• Because it shows the graph is continuous

• Because it indicates the graph is increasing

How should you position your pen or pencil to perform the vertical line test?

• In a circular motion

• Diagonally across the graph

• Vertically straight up and down

• Horizontally across the graph

What should you observe when moving the vertical line across the graph?

• If the line touches the graph at the lowest point

• If the line touches the graph at multiple points simultaneously

• If the line touches the graph at the highest point

• If the line touches the graph at the midpoint

In the first example, why is the graph considered a function?

• Because the graph is a curve

• Because the graph is a straight line

• Because the vertical line touches the graph at only one point at a time

• Because the vertical line touches the graph at multiple points

In the second example, why is the graph not considered a function?

• Because the vertical line touches the graph at only one point

• Because the graph is a curve

• Because the graph is a straight line

• Because the vertical line touches the graph at multiple points

What does it mean if a vertical line touches a graph in more than one spot?

• The graph is symmetrical

• The graph is linear

• The graph is not a function

• The graph is a function

In the final examples, what is emphasized about the x-values?

• They must be unique

• They must be negative

• They must be zero

• They must be positive

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the key takeaway from the vertical line test?

• A graph is not a function if a vertical line touches it at multiple points

• A graph is a function if a vertical line touches it at multiple points

• A graph is a function if it is a straight line

• A graph is not a function if it is a curve

Why is it important to use the vertical line test on different parts of the graph?

• To ensure the graph is continuous

• To find the maximum and minimum points

• To verify the uniqueness of x-values

• To check for symmetry