Fourier series: Coefficients of Fourier series
Piecewise continuous and smooth functions
Consider the piecewise defined real function \[f(x)=\begin{cases}\displaystyle -8 x ^2-5 x +3 &\text{if }\displaystyle x\le-4\\ \\ \displaystyle 4-6 x &\text{if }\displaystyle -4\lt x\le-1\\\\\displaystyle \sqrt{{{49 x }\over{6}}+{{98}\over{3}}} &\text{if } \displaystyle x\gt-1 \end{cases} \]
Evaluate \(f(2)\).
Evaluate \(f(2)\).
| \(f(2)=\) |
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