Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle \sqrt{-{{25 x }\over{4}}-{{25}\over{4}}} &\text{if }\displaystyle x\lt-1\\ \\ \displaystyle -6 x -10 &\text{if }\displaystyle -1\le x\le3\\\\\displaystyle -{{2}\over{5 x +8}}-10 &\text{if } \displaystyle x\gt3 \end{cases} \]
Evaluate \(f(-5)\).
Evaluate \(f(-5)\).
| \(f(-5)=\) |
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