Given the function: \( f(x)=\left\{\begin{array}{ll}7 x-10 & x<0 \\ 7 x-20 & x \geq 0\end{array}\right. \) Calculate the following values: \( f(-1)=\square \) \( f(0)=\square \) \( f(2)=\square \) Question Help: \( \square \) Video
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To find the values of the function \( f(x) \), we need to evaluate each case based on the provided piecewise definition: 1. For \( f(-1) \): Since \(-1 < 0\), we use the first part of the function: \[ f(-1) = 7(-1) - 10 = -7 - 10 = -17 \] 2. For \( f(0) \): Since \(0 \geq 0\), we use the second part of the function: \[ f(0) = 7(0) - 20 = 0 - 20 = -20 \] 3. For \( f(2) \): Since \(2 \geq 0\), we again use the second part of the function: \[ f(2) = 7(2) - 20 = 14 - 20 = -6 \] Thus, the values are: \( f(-1)=-17 \), \( f(0)=-20 \), \( f(2)=-6 \).
