What type of function is \( f(x)=-5 x^{3} \) ? Option \#1: even Option \#2: odd Option \#3: neither (1 point)

The function \( f(x)=-5 x^{3} \) is an odd function. This is because if you substitute \( -x \) into the function, you get \( f(-x) = -5(-x)^3 = 5x^3 = -f(x) \). Since it satisfies the property of odd functions, we can confidently say it falls under this category. To visualize it, graphing \( f(x)=-5 x^{3} \) will showcase symmetry about the origin. As you move in one direction along the x-axis, the function produces the negative of its value in the opposite direction, confirming its odd nature!