Question

for the function $f(x)=|2x + 1|$, some of the values will be for $f(x)=2x + 1$ and other values will be for $f(x)=-(2x + 1)$. both of these lines are graphed here.

1. for $|2x + 1|$, the expressions $2x + 1$ and $-2x - 1$ are both zero when _____.

$\bigcirc$ $x = -0.5$

$\bigcirc$ $x = 0.5$

$\bigcirc$ $x = 0$

$\bigcirc$ $x = 2$

Explanation:

Step1: Set $2x+1=0$, solve for $x$

$2x+1=0 \implies 2x=-1 \implies x=\frac{-1}{2}=-0.5$

Step2: Verify $-2x-1=0$ with $x=-0.5$

$-2(-0.5)-1=1-1=0$

Answer:

A. $x = -0.5$