Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle -4 x -6 &\text{if }\displaystyle x\le-3\\ \\ \displaystyle -10 x ^2+10 x -9 &\text{if }\displaystyle -3\lt x\le3\\\\\displaystyle \sqrt{5 x +15} &\text{if } \displaystyle x\gt3 \end{cases} \]
Evaluate \(f(2)\).
Evaluate \(f(2)\).
| \(f(2)=\) |
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