Question
Find \( f(-1) \) for the piece-wise function. \( f(x)=\left\{\begin{array}{ll}x+2 & \text { if } x \leq-1 \\ 2 x+4 & \text { if } x>-1\end{array}\right. \) \( f(-1)=[?] \)
Ask by Wyatt Lyons. in the United States
Feb 04,2025
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Answer
\( f(-1) = 1 \)
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The Deep Dive
To find \( f(-1) \), we first determine which piece of the piece-wise function to use. Since \( -1 \) is in the condition \( x \leq -1 \), we will use the first expression, which is \( f(x) = x + 2 \). Now, substituting \( x = -1 \): \[ f(-1) = -1 + 2 = 1 \] So, \( f(-1) = 1 \).