Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle \sqrt{-2 x -8} &\text{if }\displaystyle x\lt-4\\ \\ \displaystyle -3 x ^2-7 x -10 &\text{if }\displaystyle -4\le x\lt3\\\\\displaystyle {{3}\over{2 x +10}}-7 &\text{if } \displaystyle x\ge3 \end{cases} \]
Evaluate \(f(2)\).
Evaluate \(f(2)\).
| \(f(2)=\) |
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