Which of the following best describes the graph It is the gr

Which of the following best describes the graph? It is the graph of a one-to-one function. It is not the graph of a function. It is a parabolic graph. It is the graph of a function but not one-to-one.

Solution

A. the graph is not one-to-one because it has a period, that means that for certain values of x, f(x) has the same image. so the function is not one-to-one

B. if we pass a vertical line through the graph we can see that this line does not touch the graph in 2 places, therefore the graph is a function.

C. we can see that the graph behaves like a sinusoid therefore is not a parabolic graph.

D. We can conclude that the answer is D. because it is the graph of a function but not one-to-one.