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On a coordinate plane, a function has four connecting lines. The first line goes from (0, 0) to (2,2), the second line goes from (2, 2) to (3, 1), the third line goes from (3, 1) to (5, 3), and the fourth line is horizontal to the x-axis at 3. This graph shows a portion of an even function. Use the graph to complete the table of values. x f(x) −1 −3 −5 −6



Answer :

Considering that the function is even, the numeric values are given as follows:

  • x = -1, f(x) = 1.
  • x = -3, f(x) = 1.
  • x = -5, f(x) = 3.
  • x = -6, f(x) = 3.

What are even and odd functions?

  • In even functions, we have that f(x) = f(-x) for all values of x.
  • In odd functions, we have that f(-x) = -f(x) for all values of x.
  • If none of the above statements are true, the function is neither.

In this problem, we have that the function is even, hence:

  • The first line goes through points (0,0) and (2,2), hence y = x, then when x = 1, y = 1 and when x = -1, y = 1, because f(x) = f(-x).
  • f(3) = 1, hence, f(-3) = 1.
  • f(5) = 3, hence f(-5) = 3.
  • Due to the horizontal line, f(6) = 3, hence f(-6) = 3.

More can be learned about even functions at https://brainly.com/question/3964641

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