Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle 2-8 x &\text{if }\displaystyle x\le-2\\ \\ \displaystyle -x^2+9 x -6 &\text{if }\displaystyle -2\lt x\le9\\\\\displaystyle \sqrt{2 x +4} &\text{if } \displaystyle x\gt9 \end{cases} \]
Evaluate \(f(2)\).
Evaluate \(f(2)\).
| \(f(2)=\) |
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