Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle \sqrt{-4 x -12} &\text{if }\displaystyle x\lt-3\\ \\ \displaystyle -2 x ^2-2 x +8 &\text{if }\displaystyle -3\le x\lt10\\\\\displaystyle 6 x +9 &\text{if } \displaystyle x\ge10 \end{cases} \]
Evaluate \(f(6)\).
Evaluate \(f(6)\).
| \(f(6)=\) |
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