Functions, 2ADV EQ-Bank 3 MC

For the function \(f(x)=\left\{\begin{array}{ll}|x+2|, & \text{for } x \leq 0 \\ \sqrt{x}, & \text{for } x>0\end{array}\right.\), what is \(f (-2)+ f (4)\) ?

\(2\)
\(4\)
\(6\)
\(8\)

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\(A\)

Show Worked Solution

\(f(x)= \begin{cases}|x+2|, & \text { for } x \leq 0 \\ \sqrt{x}, & \text { for } x>0\end{cases}\)

\(f(-2)=|-2+2|=0\)

\(f(4)=\sqrt{4}=2\)

\(f(-2)+f(4)=2\)

\(\Rightarrow A\)