Chapter 14.3, Problem 83AYU

$R\left(x\right)=\frac{x^3-x^2+x-1}{x^4-x^3+2x-2}$

Graph $R(x)$.

To determine

To find: The graph of $R\left(x\right)$.

Answer to Problem 83AYU

Explanation of Solution

Given:

$R\left(x\right) = \frac{x^3 - x^2 + x - 1}{x^4 - x^3 + 2x - 2}$

Calculation:

$R\left(x\right) = \frac{x^3 - x^2 + x - 1}{x^4 - x^3 + 2x - 2}$

$R\left(x\right) = \frac{\left(x^2 + 1\right)\left(x - 1\right)}{\left(x^3 + 2\right)\left(x - 1\right)}$

$R\left(x\right) = \frac{x^2 + 1}{x^3 + 2}$

Graph of $R$ is as follows: