Chapter 4.6, Problem 64E

To determine

To draw: Graph the function. Compare the graph to the graph of $f(x)=\left|x\right|$ .Describe the domain and range.

Answer to Problem 64E

Graph of its solution is:

  

Domain is all real numbers. The range is $y\ge 1$ .

Explanation of Solution

Given information: Graph the function $g(x)=\left|x\right|+1$ . Compare the graph to the graph of $f(x)=\left|x\right|$ .

Calculation: Make the table of values:

$x$	$-1$	$0$	$1$
$v(x)$	$2$	$1$	$2$

Plot the ordered pair.

Draw the v-shaped graph.

  

The function $g$ is of the form $y=f(x)+k$ ,where $k=1$ .so the graph of $g$ is a vertical translation $1$ unit up of the graph of $f$ .

Therefore domain is all real numbers. The range is $y\ge 1$ .