Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle \sqrt{8-2 x } &\text{if }\displaystyle x\lt4\\ \\ \displaystyle -10 x ^2+10 x -8 &\text{if }\displaystyle 4\le x\lt8\\\\\displaystyle -{{7}\over{2 x -6}}-1 &\text{if } \displaystyle x\ge8 \end{cases} \]
Evaluate \(f(7)\).
Evaluate \(f(7)\).
| \(f(7)=\) |
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