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 $x=\pm 1$.

The solution for this problem is available for $0.99.
You can also purchase a pass for all available solutions for $99.