Chapter R, Problem 1RE

These review exercises are for test preparation. They can also serve as a practice test. Answers are at the back of the book. Red bracketed section references indicate the part(s) of the chapter to restudy if your answer is incorrect.

For each equation in column $A$, select the most appropriate graph in column B. $[\text{R}.1,\text{R}.4,\text{R}.5,\text{R}.6]$

Column A

1. $y=|x+1|$

Column B

To determine

To identify: The correct graph for the equation $y=\left|x+1\right|$ .

The given options are:

  

Answer to Problem 1RE

The correct option is (b).

Explanation of Solution

Given information:

The equation is $y=\left|x+1\right|$ .

Substitute the respective value for $x$ .

  $$

$$$x$	$y=\left|x+1\right|$	$\left(x,y\right)$
$-5$	$\begin{array}{c}y=\left|-5+1\right|\\ =\left|-4\right|=4\end{array}$	$$$\left(-5,4\right)$
$-3$	$\begin{array}{c}y=\left|-3+1\right|\\ =\left|-2\right|=2\end{array}$	$\left(-3,2\right)$
$-1$	$\begin{array}{c}y=\left|-1+1\right|\\ =\left|0\right|=0\end{array}$	$\left(-1,0\right)$
$0$	$\begin{array}{c}y=\left|0+1\right|\\ =\left|1\right|=1\end{array}$	$\left(0,1\right)$

By using above table draw the graph,

  

By comparing the above graph with given graphs, the appropriate match is the graph of (b).