Determining Functions with the Vertical Line Test

The video tutorial explains how to determine if a graph represents a function using the vertical line test. A function is defined as having only one output for each input. The vertical line test involves drawing vertical lines through the graph; if any line intersects the graph more than once, it is not a function. The tutorial provides examples of graphs and applies the vertical line test to identify functions and non-functions.

What is the purpose of the vertical line test?

• To identify the x-intercepts of a graph

• To determine if a graph is a straight line

• To find the slope of a graph

• To check if a graph represents a function

According to the vertical line test, what indicates that a graph is not a function?

• If a vertical line intersects the graph at the origin

• If a vertical line does not intersect the graph

• If a vertical line intersects the graph at more than one point

• If a vertical line intersects the graph at exactly one point

What does a function mean in terms of x and y values?

• For every value of x, there is one value of y

• For every value of y, there are multiple values of x

• For every value of y, there is one value of x

• For every value of x, there are multiple values of y

What should you do to apply the vertical line test?

• Draw curved lines through the graph

• Draw vertical lines through the graph

• Draw diagonal lines through the graph

• Draw horizontal lines through the graph

If a vertical line intersects a graph only once at every point, what can be concluded?

• The graph is not a function

• The graph has no x-intercepts

• The graph is a function

• The graph is a straight line

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

• Because it has multiple x-intercepts

• Because it is a straight line

• Because a vertical line intersects it twice

• Because it has no y-intercepts

What happens when a vertical line intersects a graph twice?

• The graph has no x-intercepts

• The graph is not a function

• The graph is a straight line

• The graph is a function

How can you tell if a graph is a function using the vertical line test?

• If no vertical line intersects the graph

• If the graph has no y-intercepts

• If every vertical line intersects the graph at most once

• If every vertical line intersects the graph multiple times