Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle 4 x -8 &\text{if }\displaystyle x\lt-2\\ \\ \displaystyle {{31}\over{10 x +21}}+1 &\text{if }\displaystyle -2\le x\le8\\\\\displaystyle 8 x ^2+10 x +8 &\text{if } \displaystyle x\gt8 \end{cases} \]
Evaluate \(f(1)\).
Evaluate \(f(1)\).
| \(f(1)=\) |
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