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
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.
<h3>What is the horizontal-line test?</h3>
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.
