Which of the following best describes the graph below?

A. It is a function, but it is not one-to-one.
B. It is a one-to-one function.
C. It is not a function.
D. It is a many-to-one function.

Which of the following best describes the graph below A It is a function but it is not onetoone B It is a onetoone function C It is not a function D It is a man class=

Respuesta :

Answer:

  B. It is a one-to-one function.

Step-by-step explanation:

Each value of the domain maps to a unique value of the range. It is a one-to-one function.

Answer:

B. It is a one to one function.

Step-by-step explanation:

It is a function, if we trace the vertical line [tex]x=a[/tex] it intersects exactly one point of the graph (in the case that [tex]a\neq0[/tex].Moreover, the line [tex]x=0[/tex] doesn't intersects the graph, hence the given graph is the graph of a function with domain [tex]\mathbb{R}-\{0\}[/tex]. On the other hand, a function f(x) is one to one, if whenever f(x)=f(y) it holds that x=y, in terms of the graph of a function this mean that whenever we trace a vertical line [tex]y=b[/tex] it intersects exactly one point, which is exactly the case fo our given graph. Threfore, it is the graph of a one to one function