Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle \sqrt{{{18}\over{5}}-{{9 x }\over{5}}} &\text{if }\displaystyle x\lt2\\ \\ \displaystyle 7-4 x ^2 &\text{if }\displaystyle 2\le x\le10\\\\\displaystyle 1-7 x &\text{if } \displaystyle x\gt10 \end{cases} \]
Evaluate \(f(-3)\).
Evaluate \(f(-3)\).
| \(f(-3)=\) |
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