Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle -2 x ^2-4 x -6 &\text{if }\displaystyle x\le2\\ \\ \displaystyle 6 x -7 &\text{if }\displaystyle 2\lt x\lt5\\\\\displaystyle \sqrt{{{x}\over{6}}-{{1}\over{3}}} &\text{if } \displaystyle x\ge5 \end{cases} \]
Evaluate \(f(8)\).
Evaluate \(f(8)\).
| \(f(8)=\) |
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