HSC Together Year 11 Maths Advanced: Identifying the Type of Function (Vertical Line Test)

• Working With Functions
• Trigonometric Functions
• Calculus
• Exponential and Logarithmic Functions
• Statistical Analysis
• Back to other subjects
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# Identifying the Type of Function (Vertical Line Test)

### How to identify a function and relation?

In this post, we learn to identify types of functions and relations on a given domain, using a variety of methods and understand what is meant by one-to-one, one-to-many, many-to-one and many-to-many. This is part of the Prelim Maths Advanced course under the topic Working with Functions and sub-part Introduction to Functions, specifically focusing on identifying the type of function (vertical line test). We also learn how to use the vertical line test to identify a function and determine if a function is one-to-one. A function has one unique output for any input, while a relation can have more than output.

### How to use the vertical line test?

This video covers how to use the vertical line test in order to determine in a graph is a function or not, going through multiple excellent examples.

This video breaks down the vertical line test in more extensive detail than the last, also giving great examples.

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