Question

what is the value of f(-2), as defined by the piecewise function below? f(x) = \

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

Explanation:

Step1: Determine the piece of the function

Since \( x = -2 < 0 \), we use the first piece of the piecewise function \( F(x)=-x \).

Step2: Substitute \( x = -2 \) into the function

Substitute \( x=-2 \) into \( F(x)=-x \), we get \( F(-2)=-(-2) \).
Simplify \( -(-2) \), which equals \( 2 \).

Answer:

2