Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle 6-{{3}\over{5 x +8}} &\text{if }\displaystyle x\lt-2\\ \\ \displaystyle -6 x ^2-6 x -7 &\text{if }\displaystyle -2\le x\le10\\\\\displaystyle -2 x -10 &\text{if } \displaystyle x\gt10 \end{cases} \]
Evaluate \(f(5)\).
Evaluate \(f(5)\).
| \(f(5)=\) |
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