Question

F(x) =
- 6x5 + 4x3
Which characteristic is correct for the function

Answer 1

odd

Step-by-step explanation:

Answer 2

Complete question:

`F(x) = -6x^5 + 4x^3`

Which characteristic is correct for the function

a) odd

b) neither even nor odd

c) both even and odd

d) even

Answer:

a) odd

Step-by-step explanation:

Given the equation:

`F(x) = -6x^5 + 4x^3`

To test for even or odd let's perform the following:

F

Replace "x" with "-x"

Thus,

`F(x) = -6x^5 + 4x^3`

`= -6(-x)^5 + 4(-x)^3`

`= 6x^5 + -4x^3`

Since
`-6x^5 + 4x^3` ≠
`-6(-x)^5 + 4(-x)^3` the equation is not even.

Also, the signs changed, the equation is considered to be odd.

I.e f(x) = -f(x)

Correct answer is option (a) odd