Question

Which of the following best describes the graph shown below?

A) This is the graph of a linear function
B) This is the graph of a function, but it is not one-to-one.
C) This is not the graph of a function
D) This is the graph of a one-to-one function

Answer 1

It does not pass the horizontal line test. The answer is B.

Answer 2

Answer: The answer is (B) This is the graph of a function, but it is not one-to-one.

Step-by-step explanation: We are given a graph and four options out of which we are to select the statement that best describes the given graph.

Since the graph of a linear function is a straight line, so the first option is not correct.

The given graph is of a function because for a particular value of y, there is a fixed value of 'x'.

Also, since there are two different values of x having same value for y, so the function is not one-to-one. For example, If y = f(x) is the function, then f(1.5) = f(-1) = 3.

Therefore, the graph represents a function, but it is not one-to-one.

Thus, the correct option is (B).