Exploring Functions and Non-Functions

The video tutorial explains how to determine if a graph or table represents a function. It introduces the vertical line test for graphs, where a graph is a function if a vertical line intersects it at most once. The tutorial also covers analyzing tables by checking if each x-value appears only once, indicating a function. Various examples are provided to illustrate these concepts, including graph and table analyses, and the importance of x-values in determining functions.

What is the vertical line test used for?

• To find the slope of a line

• To calculate the y-intercept

• To determine if a graph is a function

• To identify the domain of a function

If a vertical line intersects a graph more than once, what does it indicate?

• The graph is linear

• The graph is a function

• The graph has no y-intercept

• The graph is not a function

In the vertical line test, what does it mean if a vertical line intersects the graph only once?

• The graph is not a function

• The graph is quadratic

• The graph is exponential

• The graph is a function

Which of the following graphs is not a function?

• A graph with no intersections

• A graph with a single straight line

• A graph where some vertical lines intersect more than once

• A graph where every vertical line intersects only once

What is the key characteristic of x-values in a table for it to represent a function?

• X-values must be integers

• X-values must be positive

• X-values must be negative

• X-values must be unique

If an x-value repeats in a table, what does it indicate?

• The table does not represent a function

• The table represents a function

• The table is quadratic

• The table is linear

In a table, which values are referred to as the domain?

• X-values

• Z-values

• W-values

• Y-values

Which of the following tables represents a function?

• A table where x-values repeat

• A table where y-values repeat

• A table where y-values are unique

• A table where x-values are unique

What is the significance of the y-values in determining if a table represents a function?

• Y-values must be integers

• Y-values do not matter

• Y-values must be positive

• Y-values must be unique

What must be true for a set of coordinates to represent a linear function?

• There must be a repeating pattern in the y-values

• There must be a repeating pattern in the x-values

• There must be a consistent pattern in both x and y-values

• There must be no pattern in the values