One-To-One and Inverse Functions Worksheet (with answer key)

One particular type of function is known as a one-to-one function. This function is characterized by the fact that for every output value y, there is exactly one input value x related to it. Put another way, a function is said to have a one-to-one relationship with its inputs if each output y is directly proportional to a single input x. An inverse function is a type of function that produces the opposite of the intended result when applied to the output of another function.

What is the “One-To-One and Inverse Functions Worksheet (with answer key)”

The will worksheet will discuss the concept of a one-to-one function and determine if a function has an inverse. 

How will the “One-To-One and Inverse Functions Worksheet (with answer key)” help you?

The learners will understand how to use the horizontal line test to identify if a given function is one-to-one. In addition, the learners will understand how to identify a graph with an inverse function.

Instructions on how to use the “One-To-One and Inverse Functions Worksheet (with answer key).”

Make use of this worksheet to get a better understanding of the idea behind one-to-one functions and inverse functions. Study the provided examples and attempt to complete the assigned activity.


Understanding the concept of one-to-one and inverse functions will help the learners grasp the essence of solving problems about the topic. It is not difficult to grasp the concept that inverse functions “undo” the work that is done by a function. The horizontal line test is another straightforward method for determining whether or not the provided value corresponds to a one-to-one function.

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