Chapter 2.2, Problem 29AYU

(a)

To determine

Whether the point $\left(-1,1\right)$ is on the graph of function $f\left(x\right)=\frac{2x^2}{x^4+1}$ or not.

(b)

To determine

The value of the function at $x=2$ and the point on the graph of the function $f\left(x\right)=\frac{2x^2}{x^4+1}$.

(c)

To determine

The value of $x$, where the value of function $f\left(x\right)=1$ and the corresponding points on the graph of function $f\left(x\right)=\frac{2x^2}{x^4+1}$.

(d)

To determine

The domain of the function $f\left(x\right)=\frac{2x^2}{x^4+1}$.

(e)

To determine

The $x$- intercepts, if any, of the graph of function $f\left(x\right)=\frac{2x^2}{x^4+1}$.

(f)

To determine

The $y$- intercept, if there is one, of the graph of function $f\left(x\right)=\frac{2x^2}{x^4+1}$.