Questions: Use the vertical-line test to determine whether the graph is that of a function. (The dashed lines are not part of the graphs.) Determine whether the graph is that of a function. Choose the correct answer below. A. The graph is not that of a function because it is possible to draw a horizontal line that intersects the graph more than once. B. The graph is not that of a function because it is possible to draw a vertical line that intersects the graph more than once. C. The graph is that of a function because it is impossible to draw a horizontal line that intersects the graph more than once. D. The graph is that of a function because it is impossible to draw a vertical line that intersects the graph more than once.

Use the vertical-line test to determine whether the graph is that of a function. (The dashed lines are not part of the graphs.)

Determine whether the graph is that of a function. Choose the correct answer below.
A. The graph is not that of a function because it is possible to draw a horizontal line that intersects the graph more than once.
B. The graph is not that of a function because it is possible to draw a vertical line that intersects the graph more than once.
C. The graph is that of a function because it is impossible to draw a horizontal line that intersects the graph more than once.
D. The graph is that of a function because it is impossible to draw a vertical line that intersects the graph more than once.

Transcript text: Use the vertical-line test to determine whether the graph is that of a function. (The dashed lines are not part of the graphs.) Determine whether the graph is that of a function. Choose the correct answer below. A. The graph is not that of a function because it is possible to draw a horizontal line that intersects the graph more than once. B. The graph is not that of a function because it is possible to draw a vertical line that intersects the graph more than once. C. The graph is that of a function because it is impossible to draw a horizontal line that intersects the graph more than once. D. The graph is that of a function because it is impossible to draw a vertical line that intersects the graph more than once.

Solution

Solution Steps

Step 1: Apply the vertical line test

The vertical line test states that a graph represents a function if and only if no vertical line intersects the graph at more than one point. We can see from the given graph that every vertical line intersects the graph at exactly one point (or not at all).

Step 2: Determine if the graph is a function

Since no vertical line intersects the graph at more than one point, the graph represents a function.