jordan1574 jordan1574
  • 03-06-2020
  • Mathematics
contestada

The function g(x) = x3 has the point (-3, -27) on its graph. The function g(x) is even or odd

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joaobezerra joaobezerra
  • 08-06-2020

Answer:

The function g(x) is odd.

Step-by-step explanation:

Even and odd functions:

If for every value of x, f(x) = f(-x), the function is even.

If for every value of x, f(x) = -f(x), the function is odd.

If those statements are false, the function is neither even nor odd.

In this question:

[tex]g(x) = x^{3}[/tex]

[tex]g(-x) = (-x)^{3} = -x^{3} = -g(x)[/tex]

Since g(x) = -g(-x), the function g(x) is odd.

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