Question

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

Answer 1

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