Chapter 5 - Section 5.1 - Introduction to Polynomials and Polynomial Functions - Exercise Set - Page 324: 17

$-29$

RECALL: $g(a)$ represents the value of the function $g$ when $x=a$. Thus, $g(-2)$ represents the value of the function $g$ when $x=-2$. Substitute $-2$ to $x$ in the function $g$ to obtain: $g(-2) = 2(-2)^3-(-2)^2+4(-2)-1 \\g(-2)=2(-8)-4+(-8)-1 \\g(-2)=-16-4-8-1 \\g(-2)=-20-8-1 \\g(-2)=-28-1 \\g(-2)=-29$