Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle \sqrt{4-2 x } &\text{if }\displaystyle x\le2\\ \\ \displaystyle -9 x ^2-5 x -9 &\text{if }\displaystyle 2\lt x\le7\\\\\displaystyle 3-2 x &\text{if } \displaystyle x\gt7 \end{cases} \]
Evaluate \(f(2)\).
Evaluate \(f(2)\).
| \(f(2)=\) |
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