Question

Which of the following best describes the graph below?

Answer 1

Answer:

Option C

Step-by-step explanation:

A function is said to be one-to-one if every y value has exactly one matching x value that is mapped onto it.

A function is said to be many-to-one if the function includes y values that have more than one matching x value mapped onto them.

From the graph, we can see that the function has assymptotes as the curves are approaching the axis.

Now, it's not every value of y that has a value of x mapped on to it because at say y - value of 0.2, there is no corresponding x-value.

Also, from the graph, we can see that the y-values that have a corresponding x-value don't have more than one x value mapped onto them.

Thus, the function is neither a one-to-one function or many-to-one function.

But it is a rational function since it has a graph even though it is with assymptotes.

Thus,the correct answer is option C: It is a function but it is not one-to-one.