Question

unit test
unit test complete
1 2 3 4
the function f(x) is to be graphed on a coordinate plane.
$f(x)=\

$$\begin{cases}-x, & x < 0\\\\1, & x \\geq 0\\end{cases}$$

$
at what point should an open circle be drawn?
$\bigcirc$ $(-1, 0)$
$\bigcirc$ $(0, 0)$
$\bigcirc$ $(0, 1)$
$\bigcirc$ $(1, 0)$
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Explanation:

Step1: Analyze left part of function

For $x < 0$, $f(x) = -x$. At $x=0$, left limit is $-0=0$, but $x=0$ is not included here.

Step2: Analyze right part of function

For $x \geq 0$, $f(x)=1$. At $x=0$, the value is $1$ (closed circle at (0,1)).

Step3: Identify open circle

The left part does not include $x=0$, so its endpoint (0,0) is an open circle.

Answer:

B. (0, 0)