Which of the following best describes the graph below? A. It is a one-to-one function. B. It is not a function. C. It is a function, but it is not one-to-one. D. It is a many-to-one function.

Students were asked to answer a question at school and to say what is most important for them to succeed. Out of the many comments, the one which that stood out was practice. Persons who are successful do not become successful by being born. They work hard and perseverance their lives to succeeding. If you wish to complete your goals, keep this in mind! Below some question and answer examples that you will possibly use to enriches your knowledge and gain insight that will assist you to continue your school studies.

Question:

Which of the following best describes the graph below? A. It is a one-to-one function. B. It is not a function. C. It is a function, but it is not one-to-one. D. It is a many-to-one function.

Answer:

We want to analyze the given graph.

We can see that this is a one-to-one function, so the correct option is A.

We define a function as a relationship that maps elements from one set into elements of other set, such that each element of the first set can be mapped into only one element of the second set.

We define a one-to-one function as a function where every element on the second set is being mapped from only one element in the first set.

To see if a function is one-to-one, we can draw a horizontal line in any part of the graph.

If it touches the graph more than once, then the function is not one-to-one.

Here we can perform that test and we will see that the horizontal line never touches the graph twice, thus this is a one-to-one function, and the correct option is A.

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From the answer and question examples above, hopefully, they could simply guide the student handle the question they had been looking for and keep in mind of all the pieces declared in the answer above. Then could simply carry out some sharing in a group discussion and also study with the classmate somewhere around the topic, so another student also absorb some enlightenment and still keeps up the school learning.

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