Mathematics: -6 x-12 = What is the answer?

-6 x-12 = What is the answer? - id6128206998, Molly05

Ответ:

kristinashau

11.06.2020

Mathematics

9514 1404 393

odd

Step-by-step explanation:

An odd function has the characteristics ...

symmetrical about the originf(-x) = -f(x)

An even function has the characteristics ...

symmetrical about the y-axisf(-x) = f(x)

The graph of the function shows symmetry about the origin. If we substitute -x for x, we get ...

$h(-x)=\dfrac{3(-x)^3}{8(-x)^2-9}=\dfrac{-3x^3}{8x^2-9}\\\\h(-x)=-\dfrac{3x^3}{8x^2-9}=-h(x)\qquad\text{the function is odd}$

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Additional comment

Both the numerator and denominator are polynomial functions. A polynomial function is odd if it contains only odd-degree terms, like the function in the numerator. A polynomial function is even if it contains only even-degree terms, like the function in the denominator. (A constant is 0 degree--even.)

A rational function consisting of the ratio of odd or even functions (not "neither"), will be odd or even according to the parity of the ratio:

odd/odd = even/even = even function

odd/even = even/odd = odd function . . . . . the situation in this problem

Help me please is is odd or even or neither?

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-6 x-12 =
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