Chapter 4.4, Problem 40PPE

To determine

To graph : The function rules and analyze the change of value of k

Answer to Problem 40PPE

  

The value of ‘k’ affects the graph. The graph will be shifted up and down as per the value of ‘k’.

Explanation of Solution

Given information: the function rules

  $\begin{array}{l}y=\left|x\right|+1\\ y=\left|x\right|+4\\ y=\left|x\right|-3\end{array}$

Graph:

Graph the functions by making a table

x	y=|x|+1
0	1
2	3
3	4

x	y=|x|+4
0	4
2	6
3	7

x	y=|x|-3
0	-3
2	-1
3	0

Graph all the table in a same coordinate plane

  

The y intercept of the graph depends on the value of ‘k’ . It means the graph is shifted vertically up and down as per the value of ‘k’ .

The value of ‘k’ affects the graph. The graph will be shifted up and down as per the value of ‘k’.