Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle \sqrt{-5 x -10} &\text{if }\displaystyle x\lt-2\\ \\ \displaystyle -5 x ^2-4 x -9 &\text{if }\displaystyle -2\le x\le2\\\\\displaystyle -2 x -8 &\text{if } \displaystyle x\gt2 \end{cases} \]
Evaluate \(f(2)\).
Evaluate \(f(2)\).
| \(f(2)=\) |
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