Chapter 10.5, Problem 36E

To determine

To complete: The given table.

Explanation of Solution

Given information:

The given table is,

  

The value of $y$ at $x=-2$ is calculated as,

  $\begin{array}{l}y=x-\frac{3}{4}\\ y=-2-\frac{3}{4}\\ y=-\frac{11}{4}\end{array}$

The value of $y$ at $x=-1$ is calculated as,

  $\begin{array}{l}y=x-\frac{3}{4}\\ y=-1-\frac{3}{4}\\ y=-\frac{7}{4}\end{array}$

The value of $y$ at $x=0$ is calculated as,

  $\begin{array}{l}y=x-\frac{3}{4}\\ y=0-\frac{3}{4}\\ y=-\frac{3}{4}\end{array}$

The value of $y$ at $x=1$ is calculated as,

  $\begin{array}{l}y=x-\frac{3}{4}\\ y=1-\frac{3}{4}\\ y=\frac{1}{4}\end{array}$

The value of $y$ at $x=2$ is calculated as,

  $\begin{array}{l}y=x-\frac{3}{4}\\ y=2-\frac{3}{4}\\ y=\frac{5}{4}\end{array}$

Thus, the complete table is,

$x$	-2	-1	0	1	2
$y$	$\frac{-11}{4}$	$-\frac{7}{4}$	$-\frac{3}{4}$	$\frac{1}{4}$	$\frac{5}{4}$