Question

determine whether the function is even, odd, or neither. then determine whether the functions graph is symmetric with respect to the y - axis, the origin, or neither.\\(f(x)=x^{5}+6x\\)\\(\\)\\(\\)determine whether the function is even, odd, or neither. choose the correct answer below.\\(\\)\\(\\)\\(\circ\\) even\\(\\)\\(\circ\\) odd\\(\\)\\(\circ\\) neither

Explanation:

Step1: Define $f(-x)$

$f(-x) = (-x)^5 + 6(-x)$

Step2: Simplify $f(-x)$

$f(-x) = -x^5 - 6x = -(x^5 + 6x)$

Step3: Compare to $-f(x)$

$-f(x) = -(x^5 + 6x)$

Answer:

odd