164k views
1 vote
Help me please is is odd or even or neither?

Help me please is is odd or even or neither?-example-1
User ToddN
by
8.3k points

2 Answers

1 vote

Answer:

it's odd

Explanation:

sysysysy character limit

User Chiurox
by
8.3k points
3 votes

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)

__

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}

_____

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?-example-1
User Di
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories