Given the function \( f(x)=\left\{\begin{array}{ll}2 x-2 & x<0 \\ 2 x-4 & x \geq 0\end{array}\right. \) Calculate the following values: \( f(-1)=\square \) \( f(0)=\square \) \( f(2)=\square \) Question Help: Video

To evaluate the function \( f(x) \), we need to consider the piecewise definition of the function based on the value of \( x \). 1. **Calculating \( f(-1) \)**: Since \(-1 < 0\), we use the first piece of the function: \[ f(-1) = 2(-1) - 2 = -2 - 2 = -4 \] So, \( f(-1) = -4 \). 2. **Calculating \( f(0) \)**: Since \(0 \geq 0\), we use the second piece of the function: \[ f(0) = 2(0) - 4 = 0 - 4 = -4 \] So, \( f(0) = -4 \). 3. **Calculating \( f(2) \)**: Since \(2 \geq 0\), we again use the second piece of the function: \[ f(2) = 2(2) - 4 = 4 - 4 = 0 \] So, \( f(2) = 0 \). In summary: - \( f(-1) = -4 \) - \( f(0) = -4 \) - \( f(2) = 0 \)