Question

Help me please is is odd or even or neither?

Answer 1

it's odd

Explanation:

sysysysy character limit

Answer 2

9514 1404 393

Answer:

odd

Explanation:

An odd function has the characteristics ...

• symmetrical about the origin
• f(-x) = -f(x)

An even function has the characteristics ...

• symmetrical about the y-axis
• f(-x) = f(x)

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

`h(-x)=(3(-x)^3)/(8(-x)^2-9)=(-3x^3)/(8x^2-9)\\\\h(-x)=-(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