Question

If the graph passes the horizontal-line test, then the function is one-to-one. Functions that are one-to-one have inverses that are also functions. Therefore, the inverse is a function. Compare your response to the sample response above. What did you include in your explanation? a reference to the horizontal-line test a statement that the function is one-to-one the conclusion that the inverse is a function

Answer 1

Based on the sample response given, the statements included in the explanation on the horizontal line test are:

• a reference to the horizontal-line test.
• a statement that the function is one-to-one.
• inverse is a function.

What is the horizontal-line test?

The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.

To pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places. If this happens, then there is an inverse and the inverse itself is a function.

Find out more on the horizontal line test at brainly.com/question/11471811

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