Chapter 12.4, Problem 17E

(a)

To determine

To calculate: The $x$ and $y$ intercepts of the provided function $f\left(t\right)=\frac{t^2+1}{t^2-1}$ in the domain $\left[-2,2\right]$.

(b)

To determine

To calculate: The points of extrema for the provided function $f\left(t\right)=\frac{t^2+1}{t^2-1}$.

(c)

To determine

To calculate: The points of inflection for the provided function $f\left(t\right)=\frac{t^2+1}{t^2-1}$.

(d)

To determine

The behavior near singular points of the function $f\left(t\right)=\frac{t^2+1}{t^2-1}$.

(e)

To determine

The behavior at infinity for the provided function $f\left(t\right)=\frac{t^2+1}{t^2-1}$.