Exercise 48 Page 154

To graph the desired function, we will make a table of values. To do so, we will assign some values to the x-variable and calculate the corresponding values for y. For simplicity, we will use even numbers so that the values of y are integers. Make sure to include positive and negative numbers, as well as zero.

x	1/2|x|+2	f(x)=1/2|x|+2
-4	1/2| -4|+2	4
-2	1/2| -2|+2	3
0	1/2| 0|+2	2
2	1/2| 2|+2	3
4	1/2| 4|+2	4
6	1/2| 6|+2	5

Now, we will plot and connect the obtained points on a coordinate plane. Recall that the graph of an absolute value function has a V shape.