Chapter 10.7, Problem 5E

Interpretation Introduction

Interpretation:

Let the given function $\text{f}\left(\text{x,r}\right){\text{ = r - x}}^2$ .

1. To write down the explicit expression for ${\text{f (x , R}}_{\text{0}}\text{)}$ and ${\text{αf}}^2(\frac{\text{x}}{\text{α}},{\text{R}}_1)$.

2. To show that ${\text{O(x}}^{\text{2}}\text{)}$ coefficient of the two function agree if $\text{α}=-2$.

Concept Introduction:

• For the given function $\text{f}\left(\text{x,r}\right){\text{ = r - x}}^2$, ${\text{R}}_{\text{0}}\text{= 0}$ and ${\text{R}}_{\text{1}}\text{= 1}$ is given. Substituting these values we can find the explicit expression for ${\text{f (x , R}}_{\text{0}}\text{)}$ and ${\text{αf}}^2(\frac{\text{x}}{\text{α}},{\text{R}}_1)$.