Chapter 10 - Radical Expressions and Equations - Cumulative Test Prep - Multiple Choice - Page 647: 13

C

Let $x=-4$ and then let $x=-1$. $y=abs(x)+2$ $y=abs(-4)+2$ $y=4+2$ $y=6$ $y=abs(x)+2$ $y=abs(-1)+2$ $y=1+2$ $y=3$ In this case, when $x$ increases, $y$ decreases. $y=x^2+2$ $y=(-4)^2+2$ $y=16+2$ $y=18$ $y=x^2+2$ $y=(-1)^2+2$ $y=1+2$ $y=3$ In this case, when $x$ increases, $y$ decreases. $y=x+2$ $y=-4+2$ $y=-2$ $y=x+2$ $y=-1+2$ $y=1$ In this case, when $x$ increases, $y$ increases. $y=-x-1$ $y=-(-4)-1$ $y=4-1$ $y=3$ $y=-x-1$ $y=-(-1)-1$ $y=1-1$ $y=0$ In this case, when $x$ increases, $y$ decreases.