Calculus FunctionProperty UConn Intermediate
2019

Problem - 4532

Construct one polynomial $f(x)$ with real coefficients and with all of the following properties:

• it is an even function
• $f(2)=f(-2)=0$
• $f(x) > 0$ when $-2 < x < 2$, and
• the maximum of $f(x)$ is achieved at $x=\pm 1$.

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