Question

Question 9 (3 points)y = -x3 + 2x + 3d: {-2, 1,2} r: {3Blank 1:Blank 2:IBlank 3:

Answer 1

`\begin{gathered} if\text{ x=-2,} \\ y=-(-2)^3+2(-2)+3 \\ y=-(-8)-4+3 \\ y=8-4+3 \\ y=7 \\ \\ \text{if x=1} \\ y=-(1)^3+2(1)+3 \\ y=-1+2+3 \\ y=4 \\ \\ \text{if y=2,} \\ y=-(2)^3+2(2)+3 \\ y=-8+4+3 \\ y=-1 \\ \\ \text{thus the range is }\mleft\lbrace7,4,-1\mright\rbrace \end{gathered}`