Question
If \( f(x) \) is defined as follows, find (a) \( f(-3) \), (b) \( f(0) \), and (c) \( f(3) \) \( f(x)=\left\{\begin{array}{ll}x^{2} & \text { if } x<0 \\ -2 & \text { if } x=0 \\ 2 x+2 & \text { if } x>0\end{array}\right. \) (a) \( f(-3)=\square \) (Simplify your answer.)
Ask by Newton Burgess. in the United States
Mar 17,2025
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Answer
\( f(-3) = 9 \)
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Mind Expander
To find \( f(-3) \), we first check the condition of the piecewise function given for \( f(x) \). Since \( -3 < 0 \), we will use the first case, which states that \( f(x) = x^2 \). Now, calculating it: \[ f(-3) = (-3)^2 = 9 \] So, \( f(-3) = 9 \).