How to Determine a Function Using the Vertical Line Test?

How to Determine a Function Using the Vertical Line Test?

A step-by-step guide to determining a function using the vertical line test

Graph of the vertical line test

How to apply the vertical line test?

  • Geometrically:
  • Algebraically:

Determining a Function Using the Vertical Line Test – Example 1:

First, draw a vertical line at any point on the given graph. And now, check whether the vertical line drawn on the diagram intersects the diagram at a maximum of one point.

The vertical line intersects the graph at more than one point (three points), then the given graph does not show a function.

Exercises for Determining a Function Using the Vertical Line Test

Use the vertical line test to determine if the following graph shows a function.

This image has an empty alt attribute; its file name is answers.png
  1. \(\color{blue}{Yes}\)
  2. \(\color{blue}{No}\)
Original price was: $109.99.Current price is: $54.99.
Original price was: $109.99.Current price is: $54.99.
Original price was: $114.99.Current price is: $54.99.

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