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The graph below is a portion of a complete graph. Which graph below is the complete graph assuming it is an even function?

The graph below is a portion of a complete graph Which graph below is the complete graph assuming it is an even function class=
The graph below is a portion of a complete graph Which graph below is the complete graph assuming it is an even function class=

Respuesta :

Answer:

Option b

Step-by-step explanation:

A function is even if and only if f(-x) = f(x).

This means that there is the same value of y for [tex]x_0[/tex] and for [tex]-x_0[/tex]

Where [tex]x_0[/tex] is any point belonging to the function .

Therefore you must select a graph whose ordered pairs are of the form [tex](x_0, y_0)[/tex] and [tex](-x_0, y_0)[/tex]

Therefore the correct answer is option b. Assume that each box in the graph equals 1 unit. Then, for x = 2 y = -3 and for x = -2 y = -3. Then it is shown that the function is even.