## Functions Modeling Change: A Preparation for Calculus, 5th Edition

(a) $f(-x)=-2x^3-3$ (b) $-f(x)=-2x^3+3$
(a) Replace $x$ with $-x$ to get $$f(-x)=2(-x)^3-3=2(-1)^3x^3-3=-2x^3-3$$ (b) Multiply $f(x)$ by $-1$ to get $-f(x)=-2x^3+3$.