Respuesta :

Answer:

The 4th graph is one to one.

Step-by-step explanation:

Consider the provided graph.

Horizontal line test: If a horizontal line intersects a function's graph more than once, then the function is not one-to-one.

Remember: The function y = f(x) is a function if it passes the vertical line test.

Now consider the provided graph.

Graph 1: Draw the horizontal line as shown in figure 1.

Here, we can observe that the horizontal line intersect the graph more than once, therefore first graph is not one-to-one.

Graph 2: The second graph is not a function as it doesn't passes the vertical line test as shown in figure 2.

Graph 3: Draw the horizontal line as shown in figure 3.

Here, we can observe that the horizontal line intersect the graph more than once, therefore third graph is not one-to-one.

Graph 4: Draw the horizontal line as shown in figure 4.

Here, we can observe that the horizontal line intersect the graph not more than once, therefore fourth graph is one-to-one.

The fourth graph is one to one

Ver imagen FelisFelis
Ver imagen FelisFelis
Ver imagen FelisFelis
Ver imagen FelisFelis

Using the concept of one-to-one function, it is found that it is represented by graph 4.

  • A function is defined only if for each value of x, there is only one equivalent value of y.
  • A function is called one-to-one if each value of y is related to only one value of x.

  • Graph 1 is a function, but not a one-to-one function, as for example, y = 3 for x = -3.5 and x = 5, that is, a value of y is related to more than one value of x.
  • Graph 2 is not a function, as a single value of x is related to more than one value of y.
  • Graph 3 is a function, but not one-to-one, for the same reason as graph 1, as for example, y = 1 for x = -1 and x = 1.
  • Graph 4 is a one-to-one function, as each value of y is related to only one value of x.

A similar problem is given at https://brainly.com/question/13160937

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