Question 153
The function $f(x)=\frac{x^{2}-2x+1}{x^{2}+1}$ is given.
a) Compute the zeros, the poles and the asymptote, and sketch the graph of the function $f$.
b) Compute the intersection points of the graph of $f$ with the line $y=2$.
c) Determine the range of the function $f$.
a) Compute the zeros, the poles and the asymptote, and sketch the graph of the function $f$.
b) Compute the intersection points of the graph of $f$ with the line $y=2$.
c) Determine the range of the function $f$.